From 171b0c92b5d82eb4efa5c3613e895b81939fa110 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Daniel=20Such=C3=BD?= Date: Wed, 13 Aug 2025 23:59:00 +0200 Subject: [PATCH] feat: use bigint intead of BN --- CHANGELOG.md | 7 + dist/ethjs-unit.js | 3839 ++------------------------------------- dist/ethjs-unit.js.map | 2 +- dist/ethjs-unit.min.js | 2 +- package-lock.json | 24 +- package.json | 16 +- src/index.js | 202 +- src/tests/test.index.js | 16 +- 8 files changed, 280 insertions(+), 3828 deletions(-) diff --git a/CHANGELOG.md b/CHANGELOG.md index aaacd2c..9d52589 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -6,6 +6,13 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 ## [Unreleased] +## [1.0.0] +### Changed +- **BREAKING**: Remove `bn.js`, `bignumber.js`, `@metamask/number-to-bn` +- **BREAKING**: `getValueOfUnit` now returns `BigInt` instead of `BigNumber` +- **BREAKING**: decimal numbers are not supported +- **BREAKING**: `fromWei` now returns `BigInt` instead of `BigNumber` + ## [0.3.0] ### Fixed - **BREAKING**: Update `bn.js` from `4.11.6` to `^5.2.1` ([#12](https://github.com/MetaMask/ethjs-unit/pull/12)) diff --git a/dist/ethjs-unit.js b/dist/ethjs-unit.js index 1545246..7850b15 100644 --- a/dist/ethjs-unit.js +++ b/dist/ethjs-unit.js @@ -71,3567 +71,13 @@ return /******/ (function(modules) { // webpackBootstrap /******/ __webpack_require__.p = ""; /******/ /******/ // Load entry module and return exports -/******/ return __webpack_require__(__webpack_require__.s = 1); +/******/ return __webpack_require__(__webpack_require__.s = 0); /******/ }) /************************************************************************/ /******/ ([ /* 0 */ /***/ (function(module, exports, __webpack_require__) { -/* WEBPACK VAR INJECTION */(function(module) {(function (module, exports) { - 'use strict'; - - // Utils - function assert (val, msg) { - if (!val) throw new Error(msg || 'Assertion failed'); - } - - // Could use `inherits` module, but don't want to move from single file - // architecture yet. - function inherits (ctor, superCtor) { - ctor.super_ = superCtor; - var TempCtor = function () {}; - TempCtor.prototype = superCtor.prototype; - ctor.prototype = new TempCtor(); - ctor.prototype.constructor = ctor; - } - - // BN - - function BN (number, base, endian) { - if (BN.isBN(number)) { - return number; - } - - this.negative = 0; - this.words = null; - this.length = 0; - - // Reduction context - this.red = null; - - if (number !== null) { - if (base === 'le' || base === 'be') { - endian = base; - base = 10; - } - - this._init(number || 0, base || 10, endian || 'be'); - } - } - if (typeof module === 'object') { - module.exports = BN; - } else { - exports.BN = BN; - } - - BN.BN = BN; - BN.wordSize = 26; - - var Buffer; - try { - if (typeof window !== 'undefined' && typeof window.Buffer !== 'undefined') { - Buffer = window.Buffer; - } else { - Buffer = __webpack_require__(3).Buffer; - } - } catch (e) { - } - - BN.isBN = function isBN (num) { - if (num instanceof BN) { - return true; - } - - return num !== null && typeof num === 'object' && - num.constructor.wordSize === BN.wordSize && Array.isArray(num.words); - }; - - BN.max = function max (left, right) { - if (left.cmp(right) > 0) return left; - return right; - }; - - BN.min = function min (left, right) { - if (left.cmp(right) < 0) return left; - return right; - }; - - BN.prototype._init = function init (number, base, endian) { - if (typeof number === 'number') { - return this._initNumber(number, base, endian); - } - - if (typeof number === 'object') { - return this._initArray(number, base, endian); - } - - if (base === 'hex') { - base = 16; - } - assert(base === (base | 0) && base >= 2 && base <= 36); - - number = number.toString().replace(/\s+/g, ''); - var start = 0; - if (number[0] === '-') { - start++; - this.negative = 1; - } - - if (start < number.length) { - if (base === 16) { - this._parseHex(number, start, endian); - } else { - this._parseBase(number, base, start); - if (endian === 'le') { - this._initArray(this.toArray(), base, endian); - } - } - } - }; - - BN.prototype._initNumber = function _initNumber (number, base, endian) { - if (number < 0) { - this.negative = 1; - number = -number; - } - if (number < 0x4000000) { - this.words = [number & 0x3ffffff]; - this.length = 1; - } else if (number < 0x10000000000000) { - this.words = [ - number & 0x3ffffff, - (number / 0x4000000) & 0x3ffffff - ]; - this.length = 2; - } else { - assert(number < 0x20000000000000); // 2 ^ 53 (unsafe) - this.words = [ - number & 0x3ffffff, - (number / 0x4000000) & 0x3ffffff, - 1 - ]; - this.length = 3; - } - - if (endian !== 'le') return; - - // Reverse the bytes - this._initArray(this.toArray(), base, endian); - }; - - BN.prototype._initArray = function _initArray (number, base, endian) { - // Perhaps a Uint8Array - assert(typeof number.length === 'number'); - if (number.length <= 0) { - this.words = [0]; - this.length = 1; - return this; - } - - this.length = Math.ceil(number.length / 3); - this.words = new Array(this.length); - for (var i = 0; i < this.length; i++) { - this.words[i] = 0; - } - - var j, w; - var off = 0; - if (endian === 'be') { - for (i = number.length - 1, j = 0; i >= 0; i -= 3) { - w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16); - this.words[j] |= (w << off) & 0x3ffffff; - this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff; - off += 24; - if (off >= 26) { - off -= 26; - j++; - } - } - } else if (endian === 'le') { - for (i = 0, j = 0; i < number.length; i += 3) { - w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16); - this.words[j] |= (w << off) & 0x3ffffff; - this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff; - off += 24; - if (off >= 26) { - off -= 26; - j++; - } - } - } - return this._strip(); - }; - - function parseHex4Bits (string, index) { - var c = string.charCodeAt(index); - // '0' - '9' - if (c >= 48 && c <= 57) { - return c - 48; - // 'A' - 'F' - } else if (c >= 65 && c <= 70) { - return c - 55; - // 'a' - 'f' - } else if (c >= 97 && c <= 102) { - return c - 87; - } else { - assert(false, 'Invalid character in ' + string); - } - } - - function parseHexByte (string, lowerBound, index) { - var r = parseHex4Bits(string, index); - if (index - 1 >= lowerBound) { - r |= parseHex4Bits(string, index - 1) << 4; - } - return r; - } - - BN.prototype._parseHex = function _parseHex (number, start, endian) { - // Create possibly bigger array to ensure that it fits the number - this.length = Math.ceil((number.length - start) / 6); - this.words = new Array(this.length); - for (var i = 0; i < this.length; i++) { - this.words[i] = 0; - } - - // 24-bits chunks - var off = 0; - var j = 0; - - var w; - if (endian === 'be') { - for (i = number.length - 1; i >= start; i -= 2) { - w = parseHexByte(number, start, i) << off; - this.words[j] |= w & 0x3ffffff; - if (off >= 18) { - off -= 18; - j += 1; - this.words[j] |= w >>> 26; - } else { - off += 8; - } - } - } else { - var parseLength = number.length - start; - for (i = parseLength % 2 === 0 ? start + 1 : start; i < number.length; i += 2) { - w = parseHexByte(number, start, i) << off; - this.words[j] |= w & 0x3ffffff; - if (off >= 18) { - off -= 18; - j += 1; - this.words[j] |= w >>> 26; - } else { - off += 8; - } - } - } - - this._strip(); - }; - - function parseBase (str, start, end, mul) { - var r = 0; - var b = 0; - var len = Math.min(str.length, end); - for (var i = start; i < len; i++) { - var c = str.charCodeAt(i) - 48; - - r *= mul; - - // 'a' - if (c >= 49) { - b = c - 49 + 0xa; - - // 'A' - } else if (c >= 17) { - b = c - 17 + 0xa; - - // '0' - '9' - } else { - b = c; - } - assert(c >= 0 && b < mul, 'Invalid character'); - r += b; - } - return r; - } - - BN.prototype._parseBase = function _parseBase (number, base, start) { - // Initialize as zero - this.words = [0]; - this.length = 1; - - // Find length of limb in base - for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base) { - limbLen++; - } - limbLen--; - limbPow = (limbPow / base) | 0; - - var total = number.length - start; - var mod = total % limbLen; - var end = Math.min(total, total - mod) + start; - - var word = 0; - for (var i = start; i < end; i += limbLen) { - word = parseBase(number, i, i + limbLen, base); - - this.imuln(limbPow); - if (this.words[0] + word < 0x4000000) { - this.words[0] += word; - } else { - this._iaddn(word); - } - } - - if (mod !== 0) { - var pow = 1; - word = parseBase(number, i, number.length, base); - - for (i = 0; i < mod; i++) { - pow *= base; - } - - this.imuln(pow); - if (this.words[0] + word < 0x4000000) { - this.words[0] += word; - } else { - this._iaddn(word); - } - } - - this._strip(); - }; - - BN.prototype.copy = function copy (dest) { - dest.words = new Array(this.length); - for (var i = 0; i < this.length; i++) { - dest.words[i] = this.words[i]; - } - dest.length = this.length; - dest.negative = this.negative; - dest.red = this.red; - }; - - function move (dest, src) { - dest.words = src.words; - dest.length = src.length; - dest.negative = src.negative; - dest.red = src.red; - } - - BN.prototype._move = function _move (dest) { - move(dest, this); - }; - - BN.prototype.clone = function clone () { - var r = new BN(null); - this.copy(r); - return r; - }; - - BN.prototype._expand = function _expand (size) { - while (this.length < size) { - this.words[this.length++] = 0; - } - return this; - }; - - // Remove leading `0` from `this` - BN.prototype._strip = function strip () { - while (this.length > 1 && this.words[this.length - 1] === 0) { - this.length--; - } - return this._normSign(); - }; - - BN.prototype._normSign = function _normSign () { - // -0 = 0 - if (this.length === 1 && this.words[0] === 0) { - this.negative = 0; - } - return this; - }; - - // Check Symbol.for because not everywhere where Symbol defined - // See https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Symbol#Browser_compatibility - if (typeof Symbol !== 'undefined' && typeof Symbol.for === 'function') { - try { - BN.prototype[Symbol.for('nodejs.util.inspect.custom')] = inspect; - } catch (e) { - BN.prototype.inspect = inspect; - } - } else { - BN.prototype.inspect = inspect; - } - - function inspect () { - return (this.red ? ''; - } - - /* - - var zeros = []; - var groupSizes = []; - var groupBases = []; - - var s = ''; - var i = -1; - while (++i < BN.wordSize) { - zeros[i] = s; - s += '0'; - } - groupSizes[0] = 0; - groupSizes[1] = 0; - groupBases[0] = 0; - groupBases[1] = 0; - var base = 2 - 1; - while (++base < 36 + 1) { - var groupSize = 0; - var groupBase = 1; - while (groupBase < (1 << BN.wordSize) / base) { - groupBase *= base; - groupSize += 1; - } - groupSizes[base] = groupSize; - groupBases[base] = groupBase; - } - - */ - - var zeros = [ - '', - '0', - '00', - '000', - '0000', - '00000', - '000000', - '0000000', - '00000000', - '000000000', - '0000000000', - '00000000000', - '000000000000', - '0000000000000', - '00000000000000', - '000000000000000', - '0000000000000000', - '00000000000000000', - '000000000000000000', - '0000000000000000000', - '00000000000000000000', - '000000000000000000000', - '0000000000000000000000', - '00000000000000000000000', - '000000000000000000000000', - '0000000000000000000000000' - ]; - - var groupSizes = [ - 0, 0, - 25, 16, 12, 11, 10, 9, 8, - 8, 7, 7, 7, 7, 6, 6, - 6, 6, 6, 6, 6, 5, 5, - 5, 5, 5, 5, 5, 5, 5, - 5, 5, 5, 5, 5, 5, 5 - ]; - - var groupBases = [ - 0, 0, - 33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216, - 43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625, - 16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632, - 6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149, - 24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176 - ]; - - BN.prototype.toString = function toString (base, padding) { - base = base || 10; - padding = padding | 0 || 1; - - var out; - if (base === 16 || base === 'hex') { - out = ''; - var off = 0; - var carry = 0; - for (var i = 0; i < this.length; i++) { - var w = this.words[i]; - var word = (((w << off) | carry) & 0xffffff).toString(16); - carry = (w >>> (24 - off)) & 0xffffff; - off += 2; - if (off >= 26) { - off -= 26; - i--; - } - if (carry !== 0 || i !== this.length - 1) { - out = zeros[6 - word.length] + word + out; - } else { - out = word + out; - } - } - if (carry !== 0) { - out = carry.toString(16) + out; - } - while (out.length % padding !== 0) { - out = '0' + out; - } - if (this.negative !== 0) { - out = '-' + out; - } - return out; - } - - if (base === (base | 0) && base >= 2 && base <= 36) { - // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base)); - var groupSize = groupSizes[base]; - // var groupBase = Math.pow(base, groupSize); - var groupBase = groupBases[base]; - out = ''; - var c = this.clone(); - c.negative = 0; - while (!c.isZero()) { - var r = c.modrn(groupBase).toString(base); - c = c.idivn(groupBase); - - if (!c.isZero()) { - out = zeros[groupSize - r.length] + r + out; - } else { - out = r + out; - } - } - if (this.isZero()) { - out = '0' + out; - } - while (out.length % padding !== 0) { - out = '0' + out; - } - if (this.negative !== 0) { - out = '-' + out; - } - return out; - } - - assert(false, 'Base should be between 2 and 36'); - }; - - BN.prototype.toNumber = function toNumber () { - var ret = this.words[0]; - if (this.length === 2) { - ret += this.words[1] * 0x4000000; - } else if (this.length === 3 && this.words[2] === 0x01) { - // NOTE: at this stage it is known that the top bit is set - ret += 0x10000000000000 + (this.words[1] * 0x4000000); - } else if (this.length > 2) { - assert(false, 'Number can only safely store up to 53 bits'); - } - return (this.negative !== 0) ? -ret : ret; - }; - - BN.prototype.toJSON = function toJSON () { - return this.toString(16, 2); - }; - - if (Buffer) { - BN.prototype.toBuffer = function toBuffer (endian, length) { - return this.toArrayLike(Buffer, endian, length); - }; - } - - BN.prototype.toArray = function toArray (endian, length) { - return this.toArrayLike(Array, endian, length); - }; - - var allocate = function allocate (ArrayType, size) { - if (ArrayType.allocUnsafe) { - return ArrayType.allocUnsafe(size); - } - return new ArrayType(size); - }; - - BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) { - this._strip(); - - var byteLength = this.byteLength(); - var reqLength = length || Math.max(1, byteLength); - assert(byteLength <= reqLength, 'byte array longer than desired length'); - assert(reqLength > 0, 'Requested array length <= 0'); - - var res = allocate(ArrayType, reqLength); - var postfix = endian === 'le' ? 'LE' : 'BE'; - this['_toArrayLike' + postfix](res, byteLength); - return res; - }; - - BN.prototype._toArrayLikeLE = function _toArrayLikeLE (res, byteLength) { - var position = 0; - var carry = 0; - - for (var i = 0, shift = 0; i < this.length; i++) { - var word = (this.words[i] << shift) | carry; - - res[position++] = word & 0xff; - if (position < res.length) { - res[position++] = (word >> 8) & 0xff; - } - if (position < res.length) { - res[position++] = (word >> 16) & 0xff; - } - - if (shift === 6) { - if (position < res.length) { - res[position++] = (word >> 24) & 0xff; - } - carry = 0; - shift = 0; - } else { - carry = word >>> 24; - shift += 2; - } - } - - if (position < res.length) { - res[position++] = carry; - - while (position < res.length) { - res[position++] = 0; - } - } - }; - - BN.prototype._toArrayLikeBE = function _toArrayLikeBE (res, byteLength) { - var position = res.length - 1; - var carry = 0; - - for (var i = 0, shift = 0; i < this.length; i++) { - var word = (this.words[i] << shift) | carry; - - res[position--] = word & 0xff; - if (position >= 0) { - res[position--] = (word >> 8) & 0xff; - } - if (position >= 0) { - res[position--] = (word >> 16) & 0xff; - } - - if (shift === 6) { - if (position >= 0) { - res[position--] = (word >> 24) & 0xff; - } - carry = 0; - shift = 0; - } else { - carry = word >>> 24; - shift += 2; - } - } - - if (position >= 0) { - res[position--] = carry; - - while (position >= 0) { - res[position--] = 0; - } - } - }; - - if (Math.clz32) { - BN.prototype._countBits = function _countBits (w) { - return 32 - Math.clz32(w); - }; - } else { - BN.prototype._countBits = function _countBits (w) { - var t = w; - var r = 0; - if (t >= 0x1000) { - r += 13; - t >>>= 13; - } - if (t >= 0x40) { - r += 7; - t >>>= 7; - } - if (t >= 0x8) { - r += 4; - t >>>= 4; - } - if (t >= 0x02) { - r += 2; - t >>>= 2; - } - return r + t; - }; - } - - BN.prototype._zeroBits = function _zeroBits (w) { - // Short-cut - if (w === 0) return 26; - - var t = w; - var r = 0; - if ((t & 0x1fff) === 0) { - r += 13; - t >>>= 13; - } - if ((t & 0x7f) === 0) { - r += 7; - t >>>= 7; - } - if ((t & 0xf) === 0) { - r += 4; - t >>>= 4; - } - if ((t & 0x3) === 0) { - r += 2; - t >>>= 2; - } - if ((t & 0x1) === 0) { - r++; - } - return r; - }; - - // Return number of used bits in a BN - BN.prototype.bitLength = function bitLength () { - var w = this.words[this.length - 1]; - var hi = this._countBits(w); - return (this.length - 1) * 26 + hi; - }; - - function toBitArray (num) { - var w = new Array(num.bitLength()); - - for (var bit = 0; bit < w.length; bit++) { - var off = (bit / 26) | 0; - var wbit = bit % 26; - - w[bit] = (num.words[off] >>> wbit) & 0x01; - } - - return w; - } - - // Number of trailing zero bits - BN.prototype.zeroBits = function zeroBits () { - if (this.isZero()) return 0; - - var r = 0; - for (var i = 0; i < this.length; i++) { - var b = this._zeroBits(this.words[i]); - r += b; - if (b !== 26) break; - } - return r; - }; - - BN.prototype.byteLength = function byteLength () { - return Math.ceil(this.bitLength() / 8); - }; - - BN.prototype.toTwos = function toTwos (width) { - if (this.negative !== 0) { - return this.abs().inotn(width).iaddn(1); - } - return this.clone(); - }; - - BN.prototype.fromTwos = function fromTwos (width) { - if (this.testn(width - 1)) { - return this.notn(width).iaddn(1).ineg(); - } - return this.clone(); - }; - - BN.prototype.isNeg = function isNeg () { - return this.negative !== 0; - }; - - // Return negative clone of `this` - BN.prototype.neg = function neg () { - return this.clone().ineg(); - }; - - BN.prototype.ineg = function ineg () { - if (!this.isZero()) { - this.negative ^= 1; - } - - return this; - }; - - // Or `num` with `this` in-place - BN.prototype.iuor = function iuor (num) { - while (this.length < num.length) { - this.words[this.length++] = 0; - } - - for (var i = 0; i < num.length; i++) { - this.words[i] = this.words[i] | num.words[i]; - } - - return this._strip(); - }; - - BN.prototype.ior = function ior (num) { - assert((this.negative | num.negative) === 0); - return this.iuor(num); - }; - - // Or `num` with `this` - BN.prototype.or = function or (num) { - if (this.length > num.length) return this.clone().ior(num); - return num.clone().ior(this); - }; - - BN.prototype.uor = function uor (num) { - if (this.length > num.length) return this.clone().iuor(num); - return num.clone().iuor(this); - }; - - // And `num` with `this` in-place - BN.prototype.iuand = function iuand (num) { - // b = min-length(num, this) - var b; - if (this.length > num.length) { - b = num; - } else { - b = this; - } - - for (var i = 0; i < b.length; i++) { - this.words[i] = this.words[i] & num.words[i]; - } - - this.length = b.length; - - return this._strip(); - }; - - BN.prototype.iand = function iand (num) { - assert((this.negative | num.negative) === 0); - return this.iuand(num); - }; - - // And `num` with `this` - BN.prototype.and = function and (num) { - if (this.length > num.length) return this.clone().iand(num); - return num.clone().iand(this); - }; - - BN.prototype.uand = function uand (num) { - if (this.length > num.length) return this.clone().iuand(num); - return num.clone().iuand(this); - }; - - // Xor `num` with `this` in-place - BN.prototype.iuxor = function iuxor (num) { - // a.length > b.length - var a; - var b; - if (this.length > num.length) { - a = this; - b = num; - } else { - a = num; - b = this; - } - - for (var i = 0; i < b.length; i++) { - this.words[i] = a.words[i] ^ b.words[i]; - } - - if (this !== a) { - for (; i < a.length; i++) { - this.words[i] = a.words[i]; - } - } - - this.length = a.length; - - return this._strip(); - }; - - BN.prototype.ixor = function ixor (num) { - assert((this.negative | num.negative) === 0); - return this.iuxor(num); - }; - - // Xor `num` with `this` - BN.prototype.xor = function xor (num) { - if (this.length > num.length) return this.clone().ixor(num); - return num.clone().ixor(this); - }; - - BN.prototype.uxor = function uxor (num) { - if (this.length > num.length) return this.clone().iuxor(num); - return num.clone().iuxor(this); - }; - - // Not ``this`` with ``width`` bitwidth - BN.prototype.inotn = function inotn (width) { - assert(typeof width === 'number' && width >= 0); - - var bytesNeeded = Math.ceil(width / 26) | 0; - var bitsLeft = width % 26; - - // Extend the buffer with leading zeroes - this._expand(bytesNeeded); - - if (bitsLeft > 0) { - bytesNeeded--; - } - - // Handle complete words - for (var i = 0; i < bytesNeeded; i++) { - this.words[i] = ~this.words[i] & 0x3ffffff; - } - - // Handle the residue - if (bitsLeft > 0) { - this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft)); - } - - // And remove leading zeroes - return this._strip(); - }; - - BN.prototype.notn = function notn (width) { - return this.clone().inotn(width); - }; - - // Set `bit` of `this` - BN.prototype.setn = function setn (bit, val) { - assert(typeof bit === 'number' && bit >= 0); - - var off = (bit / 26) | 0; - var wbit = bit % 26; - - this._expand(off + 1); - - if (val) { - this.words[off] = this.words[off] | (1 << wbit); - } else { - this.words[off] = this.words[off] & ~(1 << wbit); - } - - return this._strip(); - }; - - // Add `num` to `this` in-place - BN.prototype.iadd = function iadd (num) { - var r; - - // negative + positive - if (this.negative !== 0 && num.negative === 0) { - this.negative = 0; - r = this.isub(num); - this.negative ^= 1; - return this._normSign(); - - // positive + negative - } else if (this.negative === 0 && num.negative !== 0) { - num.negative = 0; - r = this.isub(num); - num.negative = 1; - return r._normSign(); - } - - // a.length > b.length - var a, b; - if (this.length > num.length) { - a = this; - b = num; - } else { - a = num; - b = this; - } - - var carry = 0; - for (var i = 0; i < b.length; i++) { - r = (a.words[i] | 0) + (b.words[i] | 0) + carry; - this.words[i] = r & 0x3ffffff; - carry = r >>> 26; - } - for (; carry !== 0 && i < a.length; i++) { - r = (a.words[i] | 0) + carry; - this.words[i] = r & 0x3ffffff; - carry = r >>> 26; - } - - this.length = a.length; - if (carry !== 0) { - this.words[this.length] = carry; - this.length++; - // Copy the rest of the words - } else if (a !== this) { - for (; i < a.length; i++) { - this.words[i] = a.words[i]; - } - } - - return this; - }; - - // Add `num` to `this` - BN.prototype.add = function add (num) { - var res; - if (num.negative !== 0 && this.negative === 0) { - num.negative = 0; - res = this.sub(num); - num.negative ^= 1; - return res; - } else if (num.negative === 0 && this.negative !== 0) { - this.negative = 0; - res = num.sub(this); - this.negative = 1; - return res; - } - - if (this.length > num.length) return this.clone().iadd(num); - - return num.clone().iadd(this); - }; - - // Subtract `num` from `this` in-place - BN.prototype.isub = function isub (num) { - // this - (-num) = this + num - if (num.negative !== 0) { - num.negative = 0; - var r = this.iadd(num); - num.negative = 1; - return r._normSign(); - - // -this - num = -(this + num) - } else if (this.negative !== 0) { - this.negative = 0; - this.iadd(num); - this.negative = 1; - return this._normSign(); - } - - // At this point both numbers are positive - var cmp = this.cmp(num); - - // Optimization - zeroify - if (cmp === 0) { - this.negative = 0; - this.length = 1; - this.words[0] = 0; - return this; - } - - // a > b - var a, b; - if (cmp > 0) { - a = this; - b = num; - } else { - a = num; - b = this; - } - - var carry = 0; - for (var i = 0; i < b.length; i++) { - r = (a.words[i] | 0) - (b.words[i] | 0) + carry; - carry = r >> 26; - this.words[i] = r & 0x3ffffff; - } - for (; carry !== 0 && i < a.length; i++) { - r = (a.words[i] | 0) + carry; - carry = r >> 26; - this.words[i] = r & 0x3ffffff; - } - - // Copy rest of the words - if (carry === 0 && i < a.length && a !== this) { - for (; i < a.length; i++) { - this.words[i] = a.words[i]; - } - } - - this.length = Math.max(this.length, i); - - if (a !== this) { - this.negative = 1; - } - - return this._strip(); - }; - - // Subtract `num` from `this` - BN.prototype.sub = function sub (num) { - return this.clone().isub(num); - }; - - function smallMulTo (self, num, out) { - out.negative = num.negative ^ self.negative; - var len = (self.length + num.length) | 0; - out.length = len; - len = (len - 1) | 0; - - // Peel one iteration (compiler can't do it, because of code complexity) - var a = self.words[0] | 0; - var b = num.words[0] | 0; - var r = a * b; - - var lo = r & 0x3ffffff; - var carry = (r / 0x4000000) | 0; - out.words[0] = lo; - - for (var k = 1; k < len; k++) { - // Sum all words with the same `i + j = k` and accumulate `ncarry`, - // note that ncarry could be >= 0x3ffffff - var ncarry = carry >>> 26; - var rword = carry & 0x3ffffff; - var maxJ = Math.min(k, num.length - 1); - for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) { - var i = (k - j) | 0; - a = self.words[i] | 0; - b = num.words[j] | 0; - r = a * b + rword; - ncarry += (r / 0x4000000) | 0; - rword = r & 0x3ffffff; - } - out.words[k] = rword | 0; - carry = ncarry | 0; - } - if (carry !== 0) { - out.words[k] = carry | 0; - } else { - out.length--; - } - - return out._strip(); - } - - // TODO(indutny): it may be reasonable to omit it for users who don't need - // to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit - // multiplication (like elliptic secp256k1). - var comb10MulTo = function comb10MulTo (self, num, out) { - var a = self.words; - var b = num.words; - var o = out.words; - var c = 0; - var lo; - var mid; - var hi; - var a0 = a[0] | 0; - var al0 = a0 & 0x1fff; - var ah0 = a0 >>> 13; - var a1 = a[1] | 0; - var al1 = a1 & 0x1fff; - var ah1 = a1 >>> 13; - var a2 = a[2] | 0; - var al2 = a2 & 0x1fff; - var ah2 = a2 >>> 13; - var a3 = a[3] | 0; - var al3 = a3 & 0x1fff; - var ah3 = a3 >>> 13; - var a4 = a[4] | 0; - var al4 = a4 & 0x1fff; - var ah4 = a4 >>> 13; - var a5 = a[5] | 0; - var al5 = a5 & 0x1fff; - var ah5 = a5 >>> 13; - var a6 = a[6] | 0; - var al6 = a6 & 0x1fff; - var ah6 = a6 >>> 13; - var a7 = a[7] | 0; - var al7 = a7 & 0x1fff; - var ah7 = a7 >>> 13; - var a8 = a[8] | 0; - var al8 = a8 & 0x1fff; - var ah8 = a8 >>> 13; - var a9 = a[9] | 0; - var al9 = a9 & 0x1fff; - var ah9 = a9 >>> 13; - var b0 = b[0] | 0; - var bl0 = b0 & 0x1fff; - var bh0 = b0 >>> 13; - var b1 = b[1] | 0; - var bl1 = b1 & 0x1fff; - var bh1 = b1 >>> 13; - var b2 = b[2] | 0; - var bl2 = b2 & 0x1fff; - var bh2 = b2 >>> 13; - var b3 = b[3] | 0; - var bl3 = b3 & 0x1fff; - var bh3 = b3 >>> 13; - var b4 = b[4] | 0; - var bl4 = b4 & 0x1fff; - var bh4 = b4 >>> 13; - var b5 = b[5] | 0; - var bl5 = b5 & 0x1fff; - var bh5 = b5 >>> 13; - var b6 = b[6] | 0; - var bl6 = b6 & 0x1fff; - var bh6 = b6 >>> 13; - var b7 = b[7] | 0; - var bl7 = b7 & 0x1fff; - var bh7 = b7 >>> 13; - var b8 = b[8] | 0; - var bl8 = b8 & 0x1fff; - var bh8 = b8 >>> 13; - var b9 = b[9] | 0; - var bl9 = b9 & 0x1fff; - var bh9 = b9 >>> 13; - - out.negative = self.negative ^ num.negative; - out.length = 19; - /* k = 0 */ - lo = Math.imul(al0, bl0); - mid = Math.imul(al0, bh0); - mid = (mid + Math.imul(ah0, bl0)) | 0; - hi = Math.imul(ah0, bh0); - var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0; - w0 &= 0x3ffffff; - /* k = 1 */ - lo = Math.imul(al1, bl0); - mid = Math.imul(al1, bh0); - mid = (mid + Math.imul(ah1, bl0)) | 0; - hi = Math.imul(ah1, bh0); - lo = (lo + Math.imul(al0, bl1)) | 0; - mid = (mid + Math.imul(al0, bh1)) | 0; - mid = (mid + Math.imul(ah0, bl1)) | 0; - hi = (hi + Math.imul(ah0, bh1)) | 0; - var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0; - w1 &= 0x3ffffff; - /* k = 2 */ - lo = Math.imul(al2, bl0); - mid = Math.imul(al2, bh0); - mid = (mid + Math.imul(ah2, bl0)) | 0; - hi = Math.imul(ah2, bh0); - lo = (lo + Math.imul(al1, bl1)) | 0; - mid = (mid + Math.imul(al1, bh1)) | 0; - mid = (mid + Math.imul(ah1, bl1)) | 0; - hi = (hi + Math.imul(ah1, bh1)) | 0; - lo = (lo + Math.imul(al0, bl2)) | 0; - mid = (mid + Math.imul(al0, bh2)) | 0; - mid = (mid + Math.imul(ah0, bl2)) | 0; - hi = (hi + Math.imul(ah0, bh2)) | 0; - var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0; - w2 &= 0x3ffffff; - /* k = 3 */ - lo = Math.imul(al3, bl0); - mid = Math.imul(al3, bh0); - mid = (mid + Math.imul(ah3, bl0)) | 0; - hi = Math.imul(ah3, bh0); - lo = (lo + Math.imul(al2, bl1)) | 0; - mid = (mid + Math.imul(al2, bh1)) | 0; - mid = (mid + Math.imul(ah2, bl1)) | 0; - hi = (hi + Math.imul(ah2, bh1)) | 0; - lo = (lo + Math.imul(al1, bl2)) | 0; - mid = (mid + Math.imul(al1, bh2)) | 0; - mid = (mid + Math.imul(ah1, bl2)) | 0; - hi = (hi + Math.imul(ah1, bh2)) | 0; - lo = (lo + Math.imul(al0, bl3)) | 0; - mid = (mid + Math.imul(al0, bh3)) | 0; - mid = (mid + Math.imul(ah0, bl3)) | 0; - hi = (hi + Math.imul(ah0, bh3)) | 0; - var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0; - w3 &= 0x3ffffff; - /* k = 4 */ - lo = Math.imul(al4, bl0); - mid = Math.imul(al4, bh0); - mid = (mid + Math.imul(ah4, bl0)) | 0; - hi = Math.imul(ah4, bh0); - lo = (lo + Math.imul(al3, bl1)) | 0; - mid = (mid + Math.imul(al3, bh1)) | 0; - mid = (mid + Math.imul(ah3, bl1)) | 0; - hi = (hi + Math.imul(ah3, bh1)) | 0; - lo = (lo + Math.imul(al2, bl2)) | 0; - mid = (mid + Math.imul(al2, bh2)) | 0; - mid = (mid + Math.imul(ah2, bl2)) | 0; - hi = (hi + Math.imul(ah2, bh2)) | 0; - lo = (lo + Math.imul(al1, bl3)) | 0; - mid = (mid + Math.imul(al1, bh3)) | 0; - mid = (mid + Math.imul(ah1, bl3)) | 0; - hi = (hi + Math.imul(ah1, bh3)) | 0; - lo = (lo + Math.imul(al0, bl4)) | 0; - mid = (mid + Math.imul(al0, bh4)) | 0; - mid = (mid + Math.imul(ah0, bl4)) | 0; - hi = (hi + Math.imul(ah0, bh4)) | 0; - var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0; - w4 &= 0x3ffffff; - /* k = 5 */ - lo = Math.imul(al5, bl0); - mid = Math.imul(al5, bh0); - mid = (mid + Math.imul(ah5, bl0)) | 0; - hi = Math.imul(ah5, bh0); - lo = (lo + Math.imul(al4, bl1)) | 0; - mid = (mid + Math.imul(al4, bh1)) | 0; - mid = (mid + Math.imul(ah4, bl1)) | 0; - hi = (hi + Math.imul(ah4, bh1)) | 0; - lo = (lo + Math.imul(al3, bl2)) | 0; - mid = (mid + Math.imul(al3, bh2)) | 0; - mid = (mid + Math.imul(ah3, bl2)) | 0; - hi = (hi + Math.imul(ah3, bh2)) | 0; - lo = (lo + Math.imul(al2, bl3)) | 0; - mid = (mid + Math.imul(al2, bh3)) | 0; - mid = (mid + Math.imul(ah2, bl3)) | 0; - hi = (hi + Math.imul(ah2, bh3)) | 0; - lo = (lo + Math.imul(al1, bl4)) | 0; - mid = (mid + Math.imul(al1, bh4)) | 0; - mid = (mid + Math.imul(ah1, bl4)) | 0; - hi = (hi + Math.imul(ah1, bh4)) | 0; - lo = (lo + Math.imul(al0, bl5)) | 0; - mid = (mid + Math.imul(al0, bh5)) | 0; - mid = (mid + Math.imul(ah0, bl5)) | 0; - hi = (hi + Math.imul(ah0, bh5)) | 0; - var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0; - w5 &= 0x3ffffff; - /* k = 6 */ - lo = Math.imul(al6, bl0); - mid = Math.imul(al6, bh0); - mid = (mid + Math.imul(ah6, bl0)) | 0; - hi = Math.imul(ah6, bh0); - lo = (lo + Math.imul(al5, bl1)) | 0; - mid = (mid + Math.imul(al5, bh1)) | 0; - mid = (mid + Math.imul(ah5, bl1)) | 0; - hi = (hi + Math.imul(ah5, bh1)) | 0; - lo = (lo + Math.imul(al4, bl2)) | 0; - mid = (mid + Math.imul(al4, bh2)) | 0; - mid = (mid + Math.imul(ah4, bl2)) | 0; - hi = (hi + Math.imul(ah4, bh2)) | 0; - lo = (lo + Math.imul(al3, bl3)) | 0; - mid = (mid + Math.imul(al3, bh3)) | 0; - mid = (mid + Math.imul(ah3, bl3)) | 0; - hi = (hi + Math.imul(ah3, bh3)) | 0; - lo = (lo + Math.imul(al2, bl4)) | 0; - mid = (mid + Math.imul(al2, bh4)) | 0; - mid = (mid + Math.imul(ah2, bl4)) | 0; - hi = (hi + Math.imul(ah2, bh4)) | 0; - lo = (lo + Math.imul(al1, bl5)) | 0; - mid = (mid + Math.imul(al1, bh5)) | 0; - mid = (mid + Math.imul(ah1, bl5)) | 0; - hi = (hi + Math.imul(ah1, bh5)) | 0; - lo = (lo + Math.imul(al0, bl6)) | 0; - mid = (mid + Math.imul(al0, bh6)) | 0; - mid = (mid + Math.imul(ah0, bl6)) | 0; - hi = (hi + Math.imul(ah0, bh6)) | 0; - var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0; - w6 &= 0x3ffffff; - /* k = 7 */ - lo = Math.imul(al7, bl0); - mid = Math.imul(al7, bh0); - mid = (mid + Math.imul(ah7, bl0)) | 0; - hi = Math.imul(ah7, bh0); - lo = (lo + Math.imul(al6, bl1)) | 0; - mid = (mid + Math.imul(al6, bh1)) | 0; - mid = (mid + Math.imul(ah6, bl1)) | 0; - hi = (hi + Math.imul(ah6, bh1)) | 0; - lo = (lo + Math.imul(al5, bl2)) | 0; - mid = (mid + Math.imul(al5, bh2)) | 0; - mid = (mid + Math.imul(ah5, bl2)) | 0; - hi = (hi + Math.imul(ah5, bh2)) | 0; - lo = (lo + Math.imul(al4, bl3)) | 0; - mid = (mid + Math.imul(al4, bh3)) | 0; - mid = (mid + Math.imul(ah4, bl3)) | 0; - hi = (hi + Math.imul(ah4, bh3)) | 0; - lo = (lo + Math.imul(al3, bl4)) | 0; - mid = (mid + Math.imul(al3, bh4)) | 0; - mid = (mid + Math.imul(ah3, bl4)) | 0; - hi = (hi + Math.imul(ah3, bh4)) | 0; - lo = (lo + Math.imul(al2, bl5)) | 0; - mid = (mid + Math.imul(al2, bh5)) | 0; - mid = (mid + Math.imul(ah2, bl5)) | 0; - hi = (hi + Math.imul(ah2, bh5)) | 0; - lo = (lo + Math.imul(al1, bl6)) | 0; - mid = (mid + Math.imul(al1, bh6)) | 0; - mid = (mid + Math.imul(ah1, bl6)) | 0; - hi = (hi + Math.imul(ah1, bh6)) | 0; - lo = (lo + Math.imul(al0, bl7)) | 0; - mid = (mid + Math.imul(al0, bh7)) | 0; - mid = (mid + Math.imul(ah0, bl7)) | 0; - hi = (hi + Math.imul(ah0, bh7)) | 0; - var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0; - w7 &= 0x3ffffff; - /* k = 8 */ - lo = Math.imul(al8, bl0); - mid = Math.imul(al8, bh0); - mid = (mid + Math.imul(ah8, bl0)) | 0; - hi = Math.imul(ah8, bh0); - lo = (lo + Math.imul(al7, bl1)) | 0; - mid = (mid + Math.imul(al7, bh1)) | 0; - mid = (mid + Math.imul(ah7, bl1)) | 0; - hi = (hi + Math.imul(ah7, bh1)) | 0; - lo = (lo + Math.imul(al6, bl2)) | 0; - mid = (mid + Math.imul(al6, bh2)) | 0; - mid = (mid + Math.imul(ah6, bl2)) | 0; - hi = (hi + Math.imul(ah6, bh2)) | 0; - lo = (lo + Math.imul(al5, bl3)) | 0; - mid = (mid + Math.imul(al5, bh3)) | 0; - mid = (mid + Math.imul(ah5, bl3)) | 0; - hi = (hi + Math.imul(ah5, bh3)) | 0; - lo = (lo + Math.imul(al4, bl4)) | 0; - mid = (mid + Math.imul(al4, bh4)) | 0; - mid = (mid + Math.imul(ah4, bl4)) | 0; - hi = (hi + Math.imul(ah4, bh4)) | 0; - lo = (lo + Math.imul(al3, bl5)) | 0; - mid = (mid + Math.imul(al3, bh5)) | 0; - mid = (mid + Math.imul(ah3, bl5)) | 0; - hi = (hi + Math.imul(ah3, bh5)) | 0; - lo = (lo + Math.imul(al2, bl6)) | 0; - mid = (mid + Math.imul(al2, bh6)) | 0; - mid = (mid + Math.imul(ah2, bl6)) | 0; - hi = (hi + Math.imul(ah2, bh6)) | 0; - lo = (lo + Math.imul(al1, bl7)) | 0; - mid = (mid + Math.imul(al1, bh7)) | 0; - mid = (mid + Math.imul(ah1, bl7)) | 0; - hi = (hi + Math.imul(ah1, bh7)) | 0; - lo = (lo + Math.imul(al0, bl8)) | 0; - mid = (mid + Math.imul(al0, bh8)) | 0; - mid = (mid + Math.imul(ah0, bl8)) | 0; - hi = (hi + Math.imul(ah0, bh8)) | 0; - var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0; - w8 &= 0x3ffffff; - /* k = 9 */ - lo = Math.imul(al9, bl0); - mid = Math.imul(al9, bh0); - mid = (mid + Math.imul(ah9, bl0)) | 0; - hi = Math.imul(ah9, bh0); - lo = (lo + Math.imul(al8, bl1)) | 0; - mid = (mid + Math.imul(al8, bh1)) | 0; - mid = (mid + Math.imul(ah8, bl1)) | 0; - hi = (hi + Math.imul(ah8, bh1)) | 0; - lo = (lo + Math.imul(al7, bl2)) | 0; - mid = (mid + Math.imul(al7, bh2)) | 0; - mid = (mid + Math.imul(ah7, bl2)) | 0; - hi = (hi + Math.imul(ah7, bh2)) | 0; - lo = (lo + Math.imul(al6, bl3)) | 0; - mid = (mid + Math.imul(al6, bh3)) | 0; - mid = (mid + Math.imul(ah6, bl3)) | 0; - hi = (hi + Math.imul(ah6, bh3)) | 0; - lo = (lo + Math.imul(al5, bl4)) | 0; - mid = (mid + Math.imul(al5, bh4)) | 0; - mid = (mid + Math.imul(ah5, bl4)) | 0; - hi = (hi + Math.imul(ah5, bh4)) | 0; - lo = (lo + Math.imul(al4, bl5)) | 0; - mid = (mid + Math.imul(al4, bh5)) | 0; - mid = (mid + Math.imul(ah4, bl5)) | 0; - hi = (hi + Math.imul(ah4, bh5)) | 0; - lo = (lo + Math.imul(al3, bl6)) | 0; - mid = (mid + Math.imul(al3, bh6)) | 0; - mid = (mid + Math.imul(ah3, bl6)) | 0; - hi = (hi + Math.imul(ah3, bh6)) | 0; - lo = (lo + Math.imul(al2, bl7)) | 0; - mid = (mid + Math.imul(al2, bh7)) | 0; - mid = (mid + Math.imul(ah2, bl7)) | 0; - hi = (hi + Math.imul(ah2, bh7)) | 0; - lo = (lo + Math.imul(al1, bl8)) | 0; - mid = (mid + Math.imul(al1, bh8)) | 0; - mid = (mid + Math.imul(ah1, bl8)) | 0; - hi = (hi + Math.imul(ah1, bh8)) | 0; - lo = (lo + Math.imul(al0, bl9)) | 0; - mid = (mid + Math.imul(al0, bh9)) | 0; - mid = (mid + Math.imul(ah0, bl9)) | 0; - hi = (hi + Math.imul(ah0, bh9)) | 0; - var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0; - w9 &= 0x3ffffff; - /* k = 10 */ - lo = Math.imul(al9, bl1); - mid = Math.imul(al9, bh1); - mid = (mid + Math.imul(ah9, bl1)) | 0; - hi = Math.imul(ah9, bh1); - lo = (lo + Math.imul(al8, bl2)) | 0; - mid = (mid + Math.imul(al8, bh2)) | 0; - mid = (mid + Math.imul(ah8, bl2)) | 0; - hi = (hi + Math.imul(ah8, bh2)) | 0; - lo = (lo + Math.imul(al7, bl3)) | 0; - mid = (mid + Math.imul(al7, bh3)) | 0; - mid = (mid + Math.imul(ah7, bl3)) | 0; - hi = (hi + Math.imul(ah7, bh3)) | 0; - lo = (lo + Math.imul(al6, bl4)) | 0; - mid = (mid + Math.imul(al6, bh4)) | 0; - mid = (mid + Math.imul(ah6, bl4)) | 0; - hi = (hi + Math.imul(ah6, bh4)) | 0; - lo = (lo + Math.imul(al5, bl5)) | 0; - mid = (mid + Math.imul(al5, bh5)) | 0; - mid = (mid + Math.imul(ah5, bl5)) | 0; - hi = (hi + Math.imul(ah5, bh5)) | 0; - lo = (lo + Math.imul(al4, bl6)) | 0; - mid = (mid + Math.imul(al4, bh6)) | 0; - mid = (mid + Math.imul(ah4, bl6)) | 0; - hi = (hi + Math.imul(ah4, bh6)) | 0; - lo = (lo + Math.imul(al3, bl7)) | 0; - mid = (mid + Math.imul(al3, bh7)) | 0; - mid = (mid + Math.imul(ah3, bl7)) | 0; - hi = (hi + Math.imul(ah3, bh7)) | 0; - lo = (lo + Math.imul(al2, bl8)) | 0; - mid = (mid + Math.imul(al2, bh8)) | 0; - mid = (mid + Math.imul(ah2, bl8)) | 0; - hi = (hi + Math.imul(ah2, bh8)) | 0; - lo = (lo + Math.imul(al1, bl9)) | 0; - mid = (mid + Math.imul(al1, bh9)) | 0; - mid = (mid + Math.imul(ah1, bl9)) | 0; - hi = (hi + Math.imul(ah1, bh9)) | 0; - var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0; - w10 &= 0x3ffffff; - /* k = 11 */ - lo = Math.imul(al9, bl2); - mid = Math.imul(al9, bh2); - mid = (mid + Math.imul(ah9, bl2)) | 0; - hi = Math.imul(ah9, bh2); - lo = (lo + Math.imul(al8, bl3)) | 0; - mid = (mid + Math.imul(al8, bh3)) | 0; - mid = (mid + Math.imul(ah8, bl3)) | 0; - hi = (hi + Math.imul(ah8, bh3)) | 0; - lo = (lo + Math.imul(al7, bl4)) | 0; - mid = (mid + Math.imul(al7, bh4)) | 0; - mid = (mid + Math.imul(ah7, bl4)) | 0; - hi = (hi + Math.imul(ah7, bh4)) | 0; - lo = (lo + Math.imul(al6, bl5)) | 0; - mid = (mid + Math.imul(al6, bh5)) | 0; - mid = (mid + Math.imul(ah6, bl5)) | 0; - hi = (hi + Math.imul(ah6, bh5)) | 0; - lo = (lo + Math.imul(al5, bl6)) | 0; - mid = (mid + Math.imul(al5, bh6)) | 0; - mid = (mid + Math.imul(ah5, bl6)) | 0; - hi = (hi + Math.imul(ah5, bh6)) | 0; - lo = (lo + Math.imul(al4, bl7)) | 0; - mid = (mid + Math.imul(al4, bh7)) | 0; - mid = (mid + Math.imul(ah4, bl7)) | 0; - hi = (hi + Math.imul(ah4, bh7)) | 0; - lo = (lo + Math.imul(al3, bl8)) | 0; - mid = (mid + Math.imul(al3, bh8)) | 0; - mid = (mid + Math.imul(ah3, bl8)) | 0; - hi = (hi + Math.imul(ah3, bh8)) | 0; - lo = (lo + Math.imul(al2, bl9)) | 0; - mid = (mid + Math.imul(al2, bh9)) | 0; - mid = (mid + Math.imul(ah2, bl9)) | 0; - hi = (hi + Math.imul(ah2, bh9)) | 0; - var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0; - w11 &= 0x3ffffff; - /* k = 12 */ - lo = Math.imul(al9, bl3); - mid = Math.imul(al9, bh3); - mid = (mid + Math.imul(ah9, bl3)) | 0; - hi = Math.imul(ah9, bh3); - lo = (lo + Math.imul(al8, bl4)) | 0; - mid = (mid + Math.imul(al8, bh4)) | 0; - mid = (mid + Math.imul(ah8, bl4)) | 0; - hi = (hi + Math.imul(ah8, bh4)) | 0; - lo = (lo + Math.imul(al7, bl5)) | 0; - mid = (mid + Math.imul(al7, bh5)) | 0; - mid = (mid + Math.imul(ah7, bl5)) | 0; - hi = (hi + Math.imul(ah7, bh5)) | 0; - lo = (lo + Math.imul(al6, bl6)) | 0; - mid = (mid + Math.imul(al6, bh6)) | 0; - mid = (mid + Math.imul(ah6, bl6)) | 0; - hi = (hi + Math.imul(ah6, bh6)) | 0; - lo = (lo + Math.imul(al5, bl7)) | 0; - mid = (mid + Math.imul(al5, bh7)) | 0; - mid = (mid + Math.imul(ah5, bl7)) | 0; - hi = (hi + Math.imul(ah5, bh7)) | 0; - lo = (lo + Math.imul(al4, bl8)) | 0; - mid = (mid + Math.imul(al4, bh8)) | 0; - mid = (mid + Math.imul(ah4, bl8)) | 0; - hi = (hi + Math.imul(ah4, bh8)) | 0; - lo = (lo + Math.imul(al3, bl9)) | 0; - mid = (mid + Math.imul(al3, bh9)) | 0; - mid = (mid + Math.imul(ah3, bl9)) | 0; - hi = (hi + Math.imul(ah3, bh9)) | 0; - var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0; - w12 &= 0x3ffffff; - /* k = 13 */ - lo = Math.imul(al9, bl4); - mid = Math.imul(al9, bh4); - mid = (mid + Math.imul(ah9, bl4)) | 0; - hi = Math.imul(ah9, bh4); - lo = (lo + Math.imul(al8, bl5)) | 0; - mid = (mid + Math.imul(al8, bh5)) | 0; - mid = (mid + Math.imul(ah8, bl5)) | 0; - hi = (hi + Math.imul(ah8, bh5)) | 0; - lo = (lo + Math.imul(al7, bl6)) | 0; - mid = (mid + Math.imul(al7, bh6)) | 0; - mid = (mid + Math.imul(ah7, bl6)) | 0; - hi = (hi + Math.imul(ah7, bh6)) | 0; - lo = (lo + Math.imul(al6, bl7)) | 0; - mid = (mid + Math.imul(al6, bh7)) | 0; - mid = (mid + Math.imul(ah6, bl7)) | 0; - hi = (hi + Math.imul(ah6, bh7)) | 0; - lo = (lo + Math.imul(al5, bl8)) | 0; - mid = (mid + Math.imul(al5, bh8)) | 0; - mid = (mid + Math.imul(ah5, bl8)) | 0; - hi = (hi + Math.imul(ah5, bh8)) | 0; - lo = (lo + Math.imul(al4, bl9)) | 0; - mid = (mid + Math.imul(al4, bh9)) | 0; - mid = (mid + Math.imul(ah4, bl9)) | 0; - hi = (hi + Math.imul(ah4, bh9)) | 0; - var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0; - w13 &= 0x3ffffff; - /* k = 14 */ - lo = Math.imul(al9, bl5); - mid = Math.imul(al9, bh5); - mid = (mid + Math.imul(ah9, bl5)) | 0; - hi = Math.imul(ah9, bh5); - lo = (lo + Math.imul(al8, bl6)) | 0; - mid = (mid + Math.imul(al8, bh6)) | 0; - mid = (mid + Math.imul(ah8, bl6)) | 0; - hi = (hi + Math.imul(ah8, bh6)) | 0; - lo = (lo + Math.imul(al7, bl7)) | 0; - mid = (mid + Math.imul(al7, bh7)) | 0; - mid = (mid + Math.imul(ah7, bl7)) | 0; - hi = (hi + Math.imul(ah7, bh7)) | 0; - lo = (lo + Math.imul(al6, bl8)) | 0; - mid = (mid + Math.imul(al6, bh8)) | 0; - mid = (mid + Math.imul(ah6, bl8)) | 0; - hi = (hi + Math.imul(ah6, bh8)) | 0; - lo = (lo + Math.imul(al5, bl9)) | 0; - mid = (mid + Math.imul(al5, bh9)) | 0; - mid = (mid + Math.imul(ah5, bl9)) | 0; - hi = (hi + Math.imul(ah5, bh9)) | 0; - var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0; - w14 &= 0x3ffffff; - /* k = 15 */ - lo = Math.imul(al9, bl6); - mid = Math.imul(al9, bh6); - mid = (mid + Math.imul(ah9, bl6)) | 0; - hi = Math.imul(ah9, bh6); - lo = (lo + Math.imul(al8, bl7)) | 0; - mid = (mid + Math.imul(al8, bh7)) | 0; - mid = (mid + Math.imul(ah8, bl7)) | 0; - hi = (hi + Math.imul(ah8, bh7)) | 0; - lo = (lo + Math.imul(al7, bl8)) | 0; - mid = (mid + Math.imul(al7, bh8)) | 0; - mid = (mid + Math.imul(ah7, bl8)) | 0; - hi = (hi + Math.imul(ah7, bh8)) | 0; - lo = (lo + Math.imul(al6, bl9)) | 0; - mid = (mid + Math.imul(al6, bh9)) | 0; - mid = (mid + Math.imul(ah6, bl9)) | 0; - hi = (hi + Math.imul(ah6, bh9)) | 0; - var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0; - w15 &= 0x3ffffff; - /* k = 16 */ - lo = Math.imul(al9, bl7); - mid = Math.imul(al9, bh7); - mid = (mid + Math.imul(ah9, bl7)) | 0; - hi = Math.imul(ah9, bh7); - lo = (lo + Math.imul(al8, bl8)) | 0; - mid = (mid + Math.imul(al8, bh8)) | 0; - mid = (mid + Math.imul(ah8, bl8)) | 0; - hi = (hi + Math.imul(ah8, bh8)) | 0; - lo = (lo + Math.imul(al7, bl9)) | 0; - mid = (mid + Math.imul(al7, bh9)) | 0; - mid = (mid + Math.imul(ah7, bl9)) | 0; - hi = (hi + Math.imul(ah7, bh9)) | 0; - var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0; - w16 &= 0x3ffffff; - /* k = 17 */ - lo = Math.imul(al9, bl8); - mid = Math.imul(al9, bh8); - mid = (mid + Math.imul(ah9, bl8)) | 0; - hi = Math.imul(ah9, bh8); - lo = (lo + Math.imul(al8, bl9)) | 0; - mid = (mid + Math.imul(al8, bh9)) | 0; - mid = (mid + Math.imul(ah8, bl9)) | 0; - hi = (hi + Math.imul(ah8, bh9)) | 0; - var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0; - w17 &= 0x3ffffff; - /* k = 18 */ - lo = Math.imul(al9, bl9); - mid = Math.imul(al9, bh9); - mid = (mid + Math.imul(ah9, bl9)) | 0; - hi = Math.imul(ah9, bh9); - var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0; - w18 &= 0x3ffffff; - o[0] = w0; - o[1] = w1; - o[2] = w2; - o[3] = w3; - o[4] = w4; - o[5] = w5; - o[6] = w6; - o[7] = w7; - o[8] = w8; - o[9] = w9; - o[10] = w10; - o[11] = w11; - o[12] = w12; - o[13] = w13; - o[14] = w14; - o[15] = w15; - o[16] = w16; - o[17] = w17; - o[18] = w18; - if (c !== 0) { - o[19] = c; - out.length++; - } - return out; - }; - - // Polyfill comb - if (!Math.imul) { - comb10MulTo = smallMulTo; - } - - function bigMulTo (self, num, out) { - out.negative = num.negative ^ self.negative; - out.length = self.length + num.length; - - var carry = 0; - var hncarry = 0; - for (var k = 0; k < out.length - 1; k++) { - // Sum all words with the same `i + j = k` and accumulate `ncarry`, - // note that ncarry could be >= 0x3ffffff - var ncarry = hncarry; - hncarry = 0; - var rword = carry & 0x3ffffff; - var maxJ = Math.min(k, num.length - 1); - for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) { - var i = k - j; - var a = self.words[i] | 0; - var b = num.words[j] | 0; - var r = a * b; - - var lo = r & 0x3ffffff; - ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0; - lo = (lo + rword) | 0; - rword = lo & 0x3ffffff; - ncarry = (ncarry + (lo >>> 26)) | 0; - - hncarry += ncarry >>> 26; - ncarry &= 0x3ffffff; - } - out.words[k] = rword; - carry = ncarry; - ncarry = hncarry; - } - if (carry !== 0) { - out.words[k] = carry; - } else { - out.length--; - } - - return out._strip(); - } - - function jumboMulTo (self, num, out) { - // Temporary disable, see https://github.com/indutny/bn.js/issues/211 - // var fftm = new FFTM(); - // return fftm.mulp(self, num, out); - return bigMulTo(self, num, out); - } - - BN.prototype.mulTo = function mulTo (num, out) { - var res; - var len = this.length + num.length; - if (this.length === 10 && num.length === 10) { - res = comb10MulTo(this, num, out); - } else if (len < 63) { - res = smallMulTo(this, num, out); - } else if (len < 1024) { - res = bigMulTo(this, num, out); - } else { - res = jumboMulTo(this, num, out); - } - - return res; - }; - - // Cooley-Tukey algorithm for FFT - // slightly revisited to rely on looping instead of recursion - - function FFTM (x, y) { - this.x = x; - this.y = y; - } - - FFTM.prototype.makeRBT = function makeRBT (N) { - var t = new Array(N); - var l = BN.prototype._countBits(N) - 1; - for (var i = 0; i < N; i++) { - t[i] = this.revBin(i, l, N); - } - - return t; - }; - - // Returns binary-reversed representation of `x` - FFTM.prototype.revBin = function revBin (x, l, N) { - if (x === 0 || x === N - 1) return x; - - var rb = 0; - for (var i = 0; i < l; i++) { - rb |= (x & 1) << (l - i - 1); - x >>= 1; - } - - return rb; - }; - - // Performs "tweedling" phase, therefore 'emulating' - // behaviour of the recursive algorithm - FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) { - for (var i = 0; i < N; i++) { - rtws[i] = rws[rbt[i]]; - itws[i] = iws[rbt[i]]; - } - }; - - FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) { - this.permute(rbt, rws, iws, rtws, itws, N); - - for (var s = 1; s < N; s <<= 1) { - var l = s << 1; - - var rtwdf = Math.cos(2 * Math.PI / l); - var itwdf = Math.sin(2 * Math.PI / l); - - for (var p = 0; p < N; p += l) { - var rtwdf_ = rtwdf; - var itwdf_ = itwdf; - - for (var j = 0; j < s; j++) { - var re = rtws[p + j]; - var ie = itws[p + j]; - - var ro = rtws[p + j + s]; - var io = itws[p + j + s]; - - var rx = rtwdf_ * ro - itwdf_ * io; - - io = rtwdf_ * io + itwdf_ * ro; - ro = rx; - - rtws[p + j] = re + ro; - itws[p + j] = ie + io; - - rtws[p + j + s] = re - ro; - itws[p + j + s] = ie - io; - - /* jshint maxdepth : false */ - if (j !== l) { - rx = rtwdf * rtwdf_ - itwdf * itwdf_; - - itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_; - rtwdf_ = rx; - } - } - } - } - }; - - FFTM.prototype.guessLen13b = function guessLen13b (n, m) { - var N = Math.max(m, n) | 1; - var odd = N & 1; - var i = 0; - for (N = N / 2 | 0; N; N = N >>> 1) { - i++; - } - - return 1 << i + 1 + odd; - }; - - FFTM.prototype.conjugate = function conjugate (rws, iws, N) { - if (N <= 1) return; - - for (var i = 0; i < N / 2; i++) { - var t = rws[i]; - - rws[i] = rws[N - i - 1]; - rws[N - i - 1] = t; - - t = iws[i]; - - iws[i] = -iws[N - i - 1]; - iws[N - i - 1] = -t; - } - }; - - FFTM.prototype.normalize13b = function normalize13b (ws, N) { - var carry = 0; - for (var i = 0; i < N / 2; i++) { - var w = Math.round(ws[2 * i + 1] / N) * 0x2000 + - Math.round(ws[2 * i] / N) + - carry; - - ws[i] = w & 0x3ffffff; - - if (w < 0x4000000) { - carry = 0; - } else { - carry = w / 0x4000000 | 0; - } - } - - return ws; - }; - - FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) { - var carry = 0; - for (var i = 0; i < len; i++) { - carry = carry + (ws[i] | 0); - - rws[2 * i] = carry & 0x1fff; carry = carry >>> 13; - rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13; - } - - // Pad with zeroes - for (i = 2 * len; i < N; ++i) { - rws[i] = 0; - } - - assert(carry === 0); - assert((carry & ~0x1fff) === 0); - }; - - FFTM.prototype.stub = function stub (N) { - var ph = new Array(N); - for (var i = 0; i < N; i++) { - ph[i] = 0; - } - - return ph; - }; - - FFTM.prototype.mulp = function mulp (x, y, out) { - var N = 2 * this.guessLen13b(x.length, y.length); - - var rbt = this.makeRBT(N); - - var _ = this.stub(N); - - var rws = new Array(N); - var rwst = new Array(N); - var iwst = new Array(N); - - var nrws = new Array(N); - var nrwst = new Array(N); - var niwst = new Array(N); - - var rmws = out.words; - rmws.length = N; - - this.convert13b(x.words, x.length, rws, N); - this.convert13b(y.words, y.length, nrws, N); - - this.transform(rws, _, rwst, iwst, N, rbt); - this.transform(nrws, _, nrwst, niwst, N, rbt); - - for (var i = 0; i < N; i++) { - var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i]; - iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i]; - rwst[i] = rx; - } - - this.conjugate(rwst, iwst, N); - this.transform(rwst, iwst, rmws, _, N, rbt); - this.conjugate(rmws, _, N); - this.normalize13b(rmws, N); - - out.negative = x.negative ^ y.negative; - out.length = x.length + y.length; - return out._strip(); - }; - - // Multiply `this` by `num` - BN.prototype.mul = function mul (num) { - var out = new BN(null); - out.words = new Array(this.length + num.length); - return this.mulTo(num, out); - }; - - // Multiply employing FFT - BN.prototype.mulf = function mulf (num) { - var out = new BN(null); - out.words = new Array(this.length + num.length); - return jumboMulTo(this, num, out); - }; - - // In-place Multiplication - BN.prototype.imul = function imul (num) { - return this.clone().mulTo(num, this); - }; - - BN.prototype.imuln = function imuln (num) { - var isNegNum = num < 0; - if (isNegNum) num = -num; - - assert(typeof num === 'number'); - assert(num < 0x4000000); - - // Carry - var carry = 0; - for (var i = 0; i < this.length; i++) { - var w = (this.words[i] | 0) * num; - var lo = (w & 0x3ffffff) + (carry & 0x3ffffff); - carry >>= 26; - carry += (w / 0x4000000) | 0; - // NOTE: lo is 27bit maximum - carry += lo >>> 26; - this.words[i] = lo & 0x3ffffff; - } - - if (carry !== 0) { - this.words[i] = carry; - this.length++; - } - - return isNegNum ? this.ineg() : this; - }; - - BN.prototype.muln = function muln (num) { - return this.clone().imuln(num); - }; - - // `this` * `this` - BN.prototype.sqr = function sqr () { - return this.mul(this); - }; - - // `this` * `this` in-place - BN.prototype.isqr = function isqr () { - return this.imul(this.clone()); - }; - - // Math.pow(`this`, `num`) - BN.prototype.pow = function pow (num) { - var w = toBitArray(num); - if (w.length === 0) return new BN(1); - - // Skip leading zeroes - var res = this; - for (var i = 0; i < w.length; i++, res = res.sqr()) { - if (w[i] !== 0) break; - } - - if (++i < w.length) { - for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) { - if (w[i] === 0) continue; - - res = res.mul(q); - } - } - - return res; - }; - - // Shift-left in-place - BN.prototype.iushln = function iushln (bits) { - assert(typeof bits === 'number' && bits >= 0); - var r = bits % 26; - var s = (bits - r) / 26; - var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r); - var i; - - if (r !== 0) { - var carry = 0; - - for (i = 0; i < this.length; i++) { - var newCarry = this.words[i] & carryMask; - var c = ((this.words[i] | 0) - newCarry) << r; - this.words[i] = c | carry; - carry = newCarry >>> (26 - r); - } - - if (carry) { - this.words[i] = carry; - this.length++; - } - } - - if (s !== 0) { - for (i = this.length - 1; i >= 0; i--) { - this.words[i + s] = this.words[i]; - } - - for (i = 0; i < s; i++) { - this.words[i] = 0; - } - - this.length += s; - } - - return this._strip(); - }; - - BN.prototype.ishln = function ishln (bits) { - // TODO(indutny): implement me - assert(this.negative === 0); - return this.iushln(bits); - }; - - // Shift-right in-place - // NOTE: `hint` is a lowest bit before trailing zeroes - // NOTE: if `extended` is present - it will be filled with destroyed bits - BN.prototype.iushrn = function iushrn (bits, hint, extended) { - assert(typeof bits === 'number' && bits >= 0); - var h; - if (hint) { - h = (hint - (hint % 26)) / 26; - } else { - h = 0; - } - - var r = bits % 26; - var s = Math.min((bits - r) / 26, this.length); - var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r); - var maskedWords = extended; - - h -= s; - h = Math.max(0, h); - - // Extended mode, copy masked part - if (maskedWords) { - for (var i = 0; i < s; i++) { - maskedWords.words[i] = this.words[i]; - } - maskedWords.length = s; - } - - if (s === 0) { - // No-op, we should not move anything at all - } else if (this.length > s) { - this.length -= s; - for (i = 0; i < this.length; i++) { - this.words[i] = this.words[i + s]; - } - } else { - this.words[0] = 0; - this.length = 1; - } - - var carry = 0; - for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) { - var word = this.words[i] | 0; - this.words[i] = (carry << (26 - r)) | (word >>> r); - carry = word & mask; - } - - // Push carried bits as a mask - if (maskedWords && carry !== 0) { - maskedWords.words[maskedWords.length++] = carry; - } - - if (this.length === 0) { - this.words[0] = 0; - this.length = 1; - } - - return this._strip(); - }; - - BN.prototype.ishrn = function ishrn (bits, hint, extended) { - // TODO(indutny): implement me - assert(this.negative === 0); - return this.iushrn(bits, hint, extended); - }; - - // Shift-left - BN.prototype.shln = function shln (bits) { - return this.clone().ishln(bits); - }; - - BN.prototype.ushln = function ushln (bits) { - return this.clone().iushln(bits); - }; - - // Shift-right - BN.prototype.shrn = function shrn (bits) { - return this.clone().ishrn(bits); - }; - - BN.prototype.ushrn = function ushrn (bits) { - return this.clone().iushrn(bits); - }; - - // Test if n bit is set - BN.prototype.testn = function testn (bit) { - assert(typeof bit === 'number' && bit >= 0); - var r = bit % 26; - var s = (bit - r) / 26; - var q = 1 << r; - - // Fast case: bit is much higher than all existing words - if (this.length <= s) return false; - - // Check bit and return - var w = this.words[s]; - - return !!(w & q); - }; - - // Return only lowers bits of number (in-place) - BN.prototype.imaskn = function imaskn (bits) { - assert(typeof bits === 'number' && bits >= 0); - var r = bits % 26; - var s = (bits - r) / 26; - - assert(this.negative === 0, 'imaskn works only with positive numbers'); - - if (this.length <= s) { - return this; - } - - if (r !== 0) { - s++; - } - this.length = Math.min(s, this.length); - - if (r !== 0) { - var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r); - this.words[this.length - 1] &= mask; - } - - return this._strip(); - }; - - // Return only lowers bits of number - BN.prototype.maskn = function maskn (bits) { - return this.clone().imaskn(bits); - }; - - // Add plain number `num` to `this` - BN.prototype.iaddn = function iaddn (num) { - assert(typeof num === 'number'); - assert(num < 0x4000000); - if (num < 0) return this.isubn(-num); - - // Possible sign change - if (this.negative !== 0) { - if (this.length === 1 && (this.words[0] | 0) <= num) { - this.words[0] = num - (this.words[0] | 0); - this.negative = 0; - return this; - } - - this.negative = 0; - this.isubn(num); - this.negative = 1; - return this; - } - - // Add without checks - return this._iaddn(num); - }; - - BN.prototype._iaddn = function _iaddn (num) { - this.words[0] += num; - - // Carry - for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) { - this.words[i] -= 0x4000000; - if (i === this.length - 1) { - this.words[i + 1] = 1; - } else { - this.words[i + 1]++; - } - } - this.length = Math.max(this.length, i + 1); - - return this; - }; - - // Subtract plain number `num` from `this` - BN.prototype.isubn = function isubn (num) { - assert(typeof num === 'number'); - assert(num < 0x4000000); - if (num < 0) return this.iaddn(-num); - - if (this.negative !== 0) { - this.negative = 0; - this.iaddn(num); - this.negative = 1; - return this; - } - - this.words[0] -= num; - - if (this.length === 1 && this.words[0] < 0) { - this.words[0] = -this.words[0]; - this.negative = 1; - } else { - // Carry - for (var i = 0; i < this.length && this.words[i] < 0; i++) { - this.words[i] += 0x4000000; - this.words[i + 1] -= 1; - } - } - - return this._strip(); - }; - - BN.prototype.addn = function addn (num) { - return this.clone().iaddn(num); - }; - - BN.prototype.subn = function subn (num) { - return this.clone().isubn(num); - }; - - BN.prototype.iabs = function iabs () { - this.negative = 0; - - return this; - }; - - BN.prototype.abs = function abs () { - return this.clone().iabs(); - }; - - BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) { - var len = num.length + shift; - var i; - - this._expand(len); - - var w; - var carry = 0; - for (i = 0; i < num.length; i++) { - w = (this.words[i + shift] | 0) + carry; - var right = (num.words[i] | 0) * mul; - w -= right & 0x3ffffff; - carry = (w >> 26) - ((right / 0x4000000) | 0); - this.words[i + shift] = w & 0x3ffffff; - } - for (; i < this.length - shift; i++) { - w = (this.words[i + shift] | 0) + carry; - carry = w >> 26; - this.words[i + shift] = w & 0x3ffffff; - } - - if (carry === 0) return this._strip(); - - // Subtraction overflow - assert(carry === -1); - carry = 0; - for (i = 0; i < this.length; i++) { - w = -(this.words[i] | 0) + carry; - carry = w >> 26; - this.words[i] = w & 0x3ffffff; - } - this.negative = 1; - - return this._strip(); - }; - - BN.prototype._wordDiv = function _wordDiv (num, mode) { - var shift = this.length - num.length; - - var a = this.clone(); - var b = num; - - // Normalize - var bhi = b.words[b.length - 1] | 0; - var bhiBits = this._countBits(bhi); - shift = 26 - bhiBits; - if (shift !== 0) { - b = b.ushln(shift); - a.iushln(shift); - bhi = b.words[b.length - 1] | 0; - } - - // Initialize quotient - var m = a.length - b.length; - var q; - - if (mode !== 'mod') { - q = new BN(null); - q.length = m + 1; - q.words = new Array(q.length); - for (var i = 0; i < q.length; i++) { - q.words[i] = 0; - } - } - - var diff = a.clone()._ishlnsubmul(b, 1, m); - if (diff.negative === 0) { - a = diff; - if (q) { - q.words[m] = 1; - } - } - - for (var j = m - 1; j >= 0; j--) { - var qj = (a.words[b.length + j] | 0) * 0x4000000 + - (a.words[b.length + j - 1] | 0); - - // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max - // (0x7ffffff) - qj = Math.min((qj / bhi) | 0, 0x3ffffff); - - a._ishlnsubmul(b, qj, j); - while (a.negative !== 0) { - qj--; - a.negative = 0; - a._ishlnsubmul(b, 1, j); - if (!a.isZero()) { - a.negative ^= 1; - } - } - if (q) { - q.words[j] = qj; - } - } - if (q) { - q._strip(); - } - a._strip(); - - // Denormalize - if (mode !== 'div' && shift !== 0) { - a.iushrn(shift); - } - - return { - div: q || null, - mod: a - }; - }; - - // NOTE: 1) `mode` can be set to `mod` to request mod only, - // to `div` to request div only, or be absent to - // request both div & mod - // 2) `positive` is true if unsigned mod is requested - BN.prototype.divmod = function divmod (num, mode, positive) { - assert(!num.isZero()); - - if (this.isZero()) { - return { - div: new BN(0), - mod: new BN(0) - }; - } - - var div, mod, res; - if (this.negative !== 0 && num.negative === 0) { - res = this.neg().divmod(num, mode); - - if (mode !== 'mod') { - div = res.div.neg(); - } - - if (mode !== 'div') { - mod = res.mod.neg(); - if (positive && mod.negative !== 0) { - mod.iadd(num); - } - } - - return { - div: div, - mod: mod - }; - } - - if (this.negative === 0 && num.negative !== 0) { - res = this.divmod(num.neg(), mode); - - if (mode !== 'mod') { - div = res.div.neg(); - } - - return { - div: div, - mod: res.mod - }; - } - - if ((this.negative & num.negative) !== 0) { - res = this.neg().divmod(num.neg(), mode); - - if (mode !== 'div') { - mod = res.mod.neg(); - if (positive && mod.negative !== 0) { - mod.isub(num); - } - } - - return { - div: res.div, - mod: mod - }; - } - - // Both numbers are positive at this point - - // Strip both numbers to approximate shift value - if (num.length > this.length || this.cmp(num) < 0) { - return { - div: new BN(0), - mod: this - }; - } - - // Very short reduction - if (num.length === 1) { - if (mode === 'div') { - return { - div: this.divn(num.words[0]), - mod: null - }; - } - - if (mode === 'mod') { - return { - div: null, - mod: new BN(this.modrn(num.words[0])) - }; - } - - return { - div: this.divn(num.words[0]), - mod: new BN(this.modrn(num.words[0])) - }; - } - - return this._wordDiv(num, mode); - }; - - // Find `this` / `num` - BN.prototype.div = function div (num) { - return this.divmod(num, 'div', false).div; - }; - - // Find `this` % `num` - BN.prototype.mod = function mod (num) { - return this.divmod(num, 'mod', false).mod; - }; - - BN.prototype.umod = function umod (num) { - return this.divmod(num, 'mod', true).mod; - }; - - // Find Round(`this` / `num`) - BN.prototype.divRound = function divRound (num) { - var dm = this.divmod(num); - - // Fast case - exact division - if (dm.mod.isZero()) return dm.div; - - var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod; - - var half = num.ushrn(1); - var r2 = num.andln(1); - var cmp = mod.cmp(half); - - // Round down - if (cmp < 0 || (r2 === 1 && cmp === 0)) return dm.div; - - // Round up - return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1); - }; - - BN.prototype.modrn = function modrn (num) { - var isNegNum = num < 0; - if (isNegNum) num = -num; - - assert(num <= 0x3ffffff); - var p = (1 << 26) % num; - - var acc = 0; - for (var i = this.length - 1; i >= 0; i--) { - acc = (p * acc + (this.words[i] | 0)) % num; - } - - return isNegNum ? -acc : acc; - }; - - // WARNING: DEPRECATED - BN.prototype.modn = function modn (num) { - return this.modrn(num); - }; - - // In-place division by number - BN.prototype.idivn = function idivn (num) { - var isNegNum = num < 0; - if (isNegNum) num = -num; - - assert(num <= 0x3ffffff); - - var carry = 0; - for (var i = this.length - 1; i >= 0; i--) { - var w = (this.words[i] | 0) + carry * 0x4000000; - this.words[i] = (w / num) | 0; - carry = w % num; - } - - this._strip(); - return isNegNum ? this.ineg() : this; - }; - - BN.prototype.divn = function divn (num) { - return this.clone().idivn(num); - }; - - BN.prototype.egcd = function egcd (p) { - assert(p.negative === 0); - assert(!p.isZero()); - - var x = this; - var y = p.clone(); - - if (x.negative !== 0) { - x = x.umod(p); - } else { - x = x.clone(); - } - - // A * x + B * y = x - var A = new BN(1); - var B = new BN(0); - - // C * x + D * y = y - var C = new BN(0); - var D = new BN(1); - - var g = 0; - - while (x.isEven() && y.isEven()) { - x.iushrn(1); - y.iushrn(1); - ++g; - } - - var yp = y.clone(); - var xp = x.clone(); - - while (!x.isZero()) { - for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1); - if (i > 0) { - x.iushrn(i); - while (i-- > 0) { - if (A.isOdd() || B.isOdd()) { - A.iadd(yp); - B.isub(xp); - } - - A.iushrn(1); - B.iushrn(1); - } - } - - for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1); - if (j > 0) { - y.iushrn(j); - while (j-- > 0) { - if (C.isOdd() || D.isOdd()) { - C.iadd(yp); - D.isub(xp); - } - - C.iushrn(1); - D.iushrn(1); - } - } - - if (x.cmp(y) >= 0) { - x.isub(y); - A.isub(C); - B.isub(D); - } else { - y.isub(x); - C.isub(A); - D.isub(B); - } - } - - return { - a: C, - b: D, - gcd: y.iushln(g) - }; - }; - - // This is reduced incarnation of the binary EEA - // above, designated to invert members of the - // _prime_ fields F(p) at a maximal speed - BN.prototype._invmp = function _invmp (p) { - assert(p.negative === 0); - assert(!p.isZero()); - - var a = this; - var b = p.clone(); - - if (a.negative !== 0) { - a = a.umod(p); - } else { - a = a.clone(); - } - - var x1 = new BN(1); - var x2 = new BN(0); - - var delta = b.clone(); - - while (a.cmpn(1) > 0 && b.cmpn(1) > 0) { - for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1); - if (i > 0) { - a.iushrn(i); - while (i-- > 0) { - if (x1.isOdd()) { - x1.iadd(delta); - } - - x1.iushrn(1); - } - } - - for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1); - if (j > 0) { - b.iushrn(j); - while (j-- > 0) { - if (x2.isOdd()) { - x2.iadd(delta); - } - - x2.iushrn(1); - } - } - - if (a.cmp(b) >= 0) { - a.isub(b); - x1.isub(x2); - } else { - b.isub(a); - x2.isub(x1); - } - } - - var res; - if (a.cmpn(1) === 0) { - res = x1; - } else { - res = x2; - } - - if (res.cmpn(0) < 0) { - res.iadd(p); - } - - return res; - }; - - BN.prototype.gcd = function gcd (num) { - if (this.isZero()) return num.abs(); - if (num.isZero()) return this.abs(); - - var a = this.clone(); - var b = num.clone(); - a.negative = 0; - b.negative = 0; - - // Remove common factor of two - for (var shift = 0; a.isEven() && b.isEven(); shift++) { - a.iushrn(1); - b.iushrn(1); - } - - do { - while (a.isEven()) { - a.iushrn(1); - } - while (b.isEven()) { - b.iushrn(1); - } - - var r = a.cmp(b); - if (r < 0) { - // Swap `a` and `b` to make `a` always bigger than `b` - var t = a; - a = b; - b = t; - } else if (r === 0 || b.cmpn(1) === 0) { - break; - } - - a.isub(b); - } while (true); - - return b.iushln(shift); - }; - - // Invert number in the field F(num) - BN.prototype.invm = function invm (num) { - return this.egcd(num).a.umod(num); - }; - - BN.prototype.isEven = function isEven () { - return (this.words[0] & 1) === 0; - }; - - BN.prototype.isOdd = function isOdd () { - return (this.words[0] & 1) === 1; - }; - - // And first word and num - BN.prototype.andln = function andln (num) { - return this.words[0] & num; - }; - - // Increment at the bit position in-line - BN.prototype.bincn = function bincn (bit) { - assert(typeof bit === 'number'); - var r = bit % 26; - var s = (bit - r) / 26; - var q = 1 << r; - - // Fast case: bit is much higher than all existing words - if (this.length <= s) { - this._expand(s + 1); - this.words[s] |= q; - return this; - } - - // Add bit and propagate, if needed - var carry = q; - for (var i = s; carry !== 0 && i < this.length; i++) { - var w = this.words[i] | 0; - w += carry; - carry = w >>> 26; - w &= 0x3ffffff; - this.words[i] = w; - } - if (carry !== 0) { - this.words[i] = carry; - this.length++; - } - return this; - }; - - BN.prototype.isZero = function isZero () { - return this.length === 1 && this.words[0] === 0; - }; - - BN.prototype.cmpn = function cmpn (num) { - var negative = num < 0; - - if (this.negative !== 0 && !negative) return -1; - if (this.negative === 0 && negative) return 1; - - this._strip(); - - var res; - if (this.length > 1) { - res = 1; - } else { - if (negative) { - num = -num; - } - - assert(num <= 0x3ffffff, 'Number is too big'); - - var w = this.words[0] | 0; - res = w === num ? 0 : w < num ? -1 : 1; - } - if (this.negative !== 0) return -res | 0; - return res; - }; - - // Compare two numbers and return: - // 1 - if `this` > `num` - // 0 - if `this` == `num` - // -1 - if `this` < `num` - BN.prototype.cmp = function cmp (num) { - if (this.negative !== 0 && num.negative === 0) return -1; - if (this.negative === 0 && num.negative !== 0) return 1; - - var res = this.ucmp(num); - if (this.negative !== 0) return -res | 0; - return res; - }; - - // Unsigned comparison - BN.prototype.ucmp = function ucmp (num) { - // At this point both numbers have the same sign - if (this.length > num.length) return 1; - if (this.length < num.length) return -1; - - var res = 0; - for (var i = this.length - 1; i >= 0; i--) { - var a = this.words[i] | 0; - var b = num.words[i] | 0; - - if (a === b) continue; - if (a < b) { - res = -1; - } else if (a > b) { - res = 1; - } - break; - } - return res; - }; - - BN.prototype.gtn = function gtn (num) { - return this.cmpn(num) === 1; - }; - - BN.prototype.gt = function gt (num) { - return this.cmp(num) === 1; - }; - - BN.prototype.gten = function gten (num) { - return this.cmpn(num) >= 0; - }; - - BN.prototype.gte = function gte (num) { - return this.cmp(num) >= 0; - }; - - BN.prototype.ltn = function ltn (num) { - return this.cmpn(num) === -1; - }; - - BN.prototype.lt = function lt (num) { - return this.cmp(num) === -1; - }; - - BN.prototype.lten = function lten (num) { - return this.cmpn(num) <= 0; - }; - - BN.prototype.lte = function lte (num) { - return this.cmp(num) <= 0; - }; - - BN.prototype.eqn = function eqn (num) { - return this.cmpn(num) === 0; - }; - - BN.prototype.eq = function eq (num) { - return this.cmp(num) === 0; - }; - - // - // A reduce context, could be using montgomery or something better, depending - // on the `m` itself. - // - BN.red = function red (num) { - return new Red(num); - }; - - BN.prototype.toRed = function toRed (ctx) { - assert(!this.red, 'Already a number in reduction context'); - assert(this.negative === 0, 'red works only with positives'); - return ctx.convertTo(this)._forceRed(ctx); - }; - - BN.prototype.fromRed = function fromRed () { - assert(this.red, 'fromRed works only with numbers in reduction context'); - return this.red.convertFrom(this); - }; - - BN.prototype._forceRed = function _forceRed (ctx) { - this.red = ctx; - return this; - }; - - BN.prototype.forceRed = function forceRed (ctx) { - assert(!this.red, 'Already a number in reduction context'); - return this._forceRed(ctx); - }; - - BN.prototype.redAdd = function redAdd (num) { - assert(this.red, 'redAdd works only with red numbers'); - return this.red.add(this, num); - }; - - BN.prototype.redIAdd = function redIAdd (num) { - assert(this.red, 'redIAdd works only with red numbers'); - return this.red.iadd(this, num); - }; - - BN.prototype.redSub = function redSub (num) { - assert(this.red, 'redSub works only with red numbers'); - return this.red.sub(this, num); - }; - - BN.prototype.redISub = function redISub (num) { - assert(this.red, 'redISub works only with red numbers'); - return this.red.isub(this, num); - }; - - BN.prototype.redShl = function redShl (num) { - assert(this.red, 'redShl works only with red numbers'); - return this.red.shl(this, num); - }; - - BN.prototype.redMul = function redMul (num) { - assert(this.red, 'redMul works only with red numbers'); - this.red._verify2(this, num); - return this.red.mul(this, num); - }; - - BN.prototype.redIMul = function redIMul (num) { - assert(this.red, 'redMul works only with red numbers'); - this.red._verify2(this, num); - return this.red.imul(this, num); - }; - - BN.prototype.redSqr = function redSqr () { - assert(this.red, 'redSqr works only with red numbers'); - this.red._verify1(this); - return this.red.sqr(this); - }; - - BN.prototype.redISqr = function redISqr () { - assert(this.red, 'redISqr works only with red numbers'); - this.red._verify1(this); - return this.red.isqr(this); - }; - - // Square root over p - BN.prototype.redSqrt = function redSqrt () { - assert(this.red, 'redSqrt works only with red numbers'); - this.red._verify1(this); - return this.red.sqrt(this); - }; - - BN.prototype.redInvm = function redInvm () { - assert(this.red, 'redInvm works only with red numbers'); - this.red._verify1(this); - return this.red.invm(this); - }; - - // Return negative clone of `this` % `red modulo` - BN.prototype.redNeg = function redNeg () { - assert(this.red, 'redNeg works only with red numbers'); - this.red._verify1(this); - return this.red.neg(this); - }; - - BN.prototype.redPow = function redPow (num) { - assert(this.red && !num.red, 'redPow(normalNum)'); - this.red._verify1(this); - return this.red.pow(this, num); - }; - - // Prime numbers with efficient reduction - var primes = { - k256: null, - p224: null, - p192: null, - p25519: null - }; - - // Pseudo-Mersenne prime - function MPrime (name, p) { - // P = 2 ^ N - K - this.name = name; - this.p = new BN(p, 16); - this.n = this.p.bitLength(); - this.k = new BN(1).iushln(this.n).isub(this.p); - - this.tmp = this._tmp(); - } - - MPrime.prototype._tmp = function _tmp () { - var tmp = new BN(null); - tmp.words = new Array(Math.ceil(this.n / 13)); - return tmp; - }; - - MPrime.prototype.ireduce = function ireduce (num) { - // Assumes that `num` is less than `P^2` - // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P) - var r = num; - var rlen; - - do { - this.split(r, this.tmp); - r = this.imulK(r); - r = r.iadd(this.tmp); - rlen = r.bitLength(); - } while (rlen > this.n); - - var cmp = rlen < this.n ? -1 : r.ucmp(this.p); - if (cmp === 0) { - r.words[0] = 0; - r.length = 1; - } else if (cmp > 0) { - r.isub(this.p); - } else { - if (r.strip !== undefined) { - // r is a BN v4 instance - r.strip(); - } else { - // r is a BN v5 instance - r._strip(); - } - } - - return r; - }; - - MPrime.prototype.split = function split (input, out) { - input.iushrn(this.n, 0, out); - }; - - MPrime.prototype.imulK = function imulK (num) { - return num.imul(this.k); - }; - - function K256 () { - MPrime.call( - this, - 'k256', - 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f'); - } - inherits(K256, MPrime); - - K256.prototype.split = function split (input, output) { - // 256 = 9 * 26 + 22 - var mask = 0x3fffff; - - var outLen = Math.min(input.length, 9); - for (var i = 0; i < outLen; i++) { - output.words[i] = input.words[i]; - } - output.length = outLen; - - if (input.length <= 9) { - input.words[0] = 0; - input.length = 1; - return; - } - - // Shift by 9 limbs - var prev = input.words[9]; - output.words[output.length++] = prev & mask; - - for (i = 10; i < input.length; i++) { - var next = input.words[i] | 0; - input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22); - prev = next; - } - prev >>>= 22; - input.words[i - 10] = prev; - if (prev === 0 && input.length > 10) { - input.length -= 10; - } else { - input.length -= 9; - } - }; - - K256.prototype.imulK = function imulK (num) { - // K = 0x1000003d1 = [ 0x40, 0x3d1 ] - num.words[num.length] = 0; - num.words[num.length + 1] = 0; - num.length += 2; - - // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390 - var lo = 0; - for (var i = 0; i < num.length; i++) { - var w = num.words[i] | 0; - lo += w * 0x3d1; - num.words[i] = lo & 0x3ffffff; - lo = w * 0x40 + ((lo / 0x4000000) | 0); - } - - // Fast length reduction - if (num.words[num.length - 1] === 0) { - num.length--; - if (num.words[num.length - 1] === 0) { - num.length--; - } - } - return num; - }; - - function P224 () { - MPrime.call( - this, - 'p224', - 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001'); - } - inherits(P224, MPrime); - - function P192 () { - MPrime.call( - this, - 'p192', - 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff'); - } - inherits(P192, MPrime); - - function P25519 () { - // 2 ^ 255 - 19 - MPrime.call( - this, - '25519', - '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed'); - } - inherits(P25519, MPrime); - - P25519.prototype.imulK = function imulK (num) { - // K = 0x13 - var carry = 0; - for (var i = 0; i < num.length; i++) { - var hi = (num.words[i] | 0) * 0x13 + carry; - var lo = hi & 0x3ffffff; - hi >>>= 26; - - num.words[i] = lo; - carry = hi; - } - if (carry !== 0) { - num.words[num.length++] = carry; - } - return num; - }; - - // Exported mostly for testing purposes, use plain name instead - BN._prime = function prime (name) { - // Cached version of prime - if (primes[name]) return primes[name]; - - var prime; - if (name === 'k256') { - prime = new K256(); - } else if (name === 'p224') { - prime = new P224(); - } else if (name === 'p192') { - prime = new P192(); - } else if (name === 'p25519') { - prime = new P25519(); - } else { - throw new Error('Unknown prime ' + name); - } - primes[name] = prime; - - return prime; - }; - - // - // Base reduction engine - // - function Red (m) { - if (typeof m === 'string') { - var prime = BN._prime(m); - this.m = prime.p; - this.prime = prime; - } else { - assert(m.gtn(1), 'modulus must be greater than 1'); - this.m = m; - this.prime = null; - } - } - - Red.prototype._verify1 = function _verify1 (a) { - assert(a.negative === 0, 'red works only with positives'); - assert(a.red, 'red works only with red numbers'); - }; - - Red.prototype._verify2 = function _verify2 (a, b) { - assert((a.negative | b.negative) === 0, 'red works only with positives'); - assert(a.red && a.red === b.red, - 'red works only with red numbers'); - }; - - Red.prototype.imod = function imod (a) { - if (this.prime) return this.prime.ireduce(a)._forceRed(this); - - move(a, a.umod(this.m)._forceRed(this)); - return a; - }; - - Red.prototype.neg = function neg (a) { - if (a.isZero()) { - return a.clone(); - } - - return this.m.sub(a)._forceRed(this); - }; - - Red.prototype.add = function add (a, b) { - this._verify2(a, b); - - var res = a.add(b); - if (res.cmp(this.m) >= 0) { - res.isub(this.m); - } - return res._forceRed(this); - }; - - Red.prototype.iadd = function iadd (a, b) { - this._verify2(a, b); - - var res = a.iadd(b); - if (res.cmp(this.m) >= 0) { - res.isub(this.m); - } - return res; - }; - - Red.prototype.sub = function sub (a, b) { - this._verify2(a, b); - - var res = a.sub(b); - if (res.cmpn(0) < 0) { - res.iadd(this.m); - } - return res._forceRed(this); - }; - - Red.prototype.isub = function isub (a, b) { - this._verify2(a, b); - - var res = a.isub(b); - if (res.cmpn(0) < 0) { - res.iadd(this.m); - } - return res; - }; - - Red.prototype.shl = function shl (a, num) { - this._verify1(a); - return this.imod(a.ushln(num)); - }; - - Red.prototype.imul = function imul (a, b) { - this._verify2(a, b); - return this.imod(a.imul(b)); - }; - - Red.prototype.mul = function mul (a, b) { - this._verify2(a, b); - return this.imod(a.mul(b)); - }; - - Red.prototype.isqr = function isqr (a) { - return this.imul(a, a.clone()); - }; - - Red.prototype.sqr = function sqr (a) { - return this.mul(a, a); - }; - - Red.prototype.sqrt = function sqrt (a) { - if (a.isZero()) return a.clone(); - - var mod3 = this.m.andln(3); - assert(mod3 % 2 === 1); - - // Fast case - if (mod3 === 3) { - var pow = this.m.add(new BN(1)).iushrn(2); - return this.pow(a, pow); - } - - // Tonelli-Shanks algorithm (Totally unoptimized and slow) - // - // Find Q and S, that Q * 2 ^ S = (P - 1) - var q = this.m.subn(1); - var s = 0; - while (!q.isZero() && q.andln(1) === 0) { - s++; - q.iushrn(1); - } - assert(!q.isZero()); - - var one = new BN(1).toRed(this); - var nOne = one.redNeg(); - - // Find quadratic non-residue - // NOTE: Max is such because of generalized Riemann hypothesis. - var lpow = this.m.subn(1).iushrn(1); - var z = this.m.bitLength(); - z = new BN(2 * z * z).toRed(this); - - while (this.pow(z, lpow).cmp(nOne) !== 0) { - z.redIAdd(nOne); - } - - var c = this.pow(z, q); - var r = this.pow(a, q.addn(1).iushrn(1)); - var t = this.pow(a, q); - var m = s; - while (t.cmp(one) !== 0) { - var tmp = t; - for (var i = 0; tmp.cmp(one) !== 0; i++) { - tmp = tmp.redSqr(); - } - assert(i < m); - var b = this.pow(c, new BN(1).iushln(m - i - 1)); - - r = r.redMul(b); - c = b.redSqr(); - t = t.redMul(c); - m = i; - } - - return r; - }; - - Red.prototype.invm = function invm (a) { - var inv = a._invmp(this.m); - if (inv.negative !== 0) { - inv.negative = 0; - return this.imod(inv).redNeg(); - } else { - return this.imod(inv); - } - }; - - Red.prototype.pow = function pow (a, num) { - if (num.isZero()) return new BN(1).toRed(this); - if (num.cmpn(1) === 0) return a.clone(); - - var windowSize = 4; - var wnd = new Array(1 << windowSize); - wnd[0] = new BN(1).toRed(this); - wnd[1] = a; - for (var i = 2; i < wnd.length; i++) { - wnd[i] = this.mul(wnd[i - 1], a); - } - - var res = wnd[0]; - var current = 0; - var currentLen = 0; - var start = num.bitLength() % 26; - if (start === 0) { - start = 26; - } - - for (i = num.length - 1; i >= 0; i--) { - var word = num.words[i]; - for (var j = start - 1; j >= 0; j--) { - var bit = (word >> j) & 1; - if (res !== wnd[0]) { - res = this.sqr(res); - } - - if (bit === 0 && current === 0) { - currentLen = 0; - continue; - } - - current <<= 1; - current |= bit; - currentLen++; - if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue; - - res = this.mul(res, wnd[current]); - currentLen = 0; - current = 0; - } - start = 26; - } - - return res; - }; - - Red.prototype.convertTo = function convertTo (num) { - var r = num.umod(this.m); - - return r === num ? r.clone() : r; - }; - - Red.prototype.convertFrom = function convertFrom (num) { - var res = num.clone(); - res.red = null; - return res; - }; - - // - // Montgomery method engine - // - - BN.mont = function mont (num) { - return new Mont(num); - }; - - function Mont (m) { - Red.call(this, m); - - this.shift = this.m.bitLength(); - if (this.shift % 26 !== 0) { - this.shift += 26 - (this.shift % 26); - } - - this.r = new BN(1).iushln(this.shift); - this.r2 = this.imod(this.r.sqr()); - this.rinv = this.r._invmp(this.m); - - this.minv = this.rinv.mul(this.r).isubn(1).div(this.m); - this.minv = this.minv.umod(this.r); - this.minv = this.r.sub(this.minv); - } - inherits(Mont, Red); - - Mont.prototype.convertTo = function convertTo (num) { - return this.imod(num.ushln(this.shift)); - }; - - Mont.prototype.convertFrom = function convertFrom (num) { - var r = this.imod(num.mul(this.rinv)); - r.red = null; - return r; - }; - - Mont.prototype.imul = function imul (a, b) { - if (a.isZero() || b.isZero()) { - a.words[0] = 0; - a.length = 1; - return a; - } - - var t = a.imul(b); - var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m); - var u = t.isub(c).iushrn(this.shift); - var res = u; - - if (u.cmp(this.m) >= 0) { - res = u.isub(this.m); - } else if (u.cmpn(0) < 0) { - res = u.iadd(this.m); - } - - return res._forceRed(this); - }; - - Mont.prototype.mul = function mul (a, b) { - if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this); - - var t = a.mul(b); - var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m); - var u = t.isub(c).iushrn(this.shift); - var res = u; - if (u.cmp(this.m) >= 0) { - res = u.isub(this.m); - } else if (u.cmpn(0) < 0) { - res = u.iadd(this.m); - } - - return res._forceRed(this); - }; - - Mont.prototype.invm = function invm (a) { - // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R - var res = this.imod(a._invmp(this.m).mul(this.r2)); - return res._forceRed(this); - }; -})(typeof module === 'undefined' || module, this); - -/* WEBPACK VAR INJECTION */}.call(exports, __webpack_require__(2)(module))) - -/***/ }), -/* 1 */ -/***/ (function(module, exports, __webpack_require__) { - "use strict"; @@ -3642,66 +88,82 @@ https://github.com/ethers-io Note, Richard is a god of ether gods. Follow and respect him, and use Ethers.io! */ -var BN = __webpack_require__(0); -var numberToBN = __webpack_require__(4); -var zero = new BN(0); -var negative1 = new BN(-1); +var zero = BigInt(0); +var negative1 = BigInt(-1); +function numberToBigInt(arg) { + if (typeof arg === "string") { + return BigInt(arg); + } + if (typeof arg === "number") { + return BigInt(arg); + } + // eslint-disable-next-line valid-typeof + if (typeof arg === "bigint") { + return arg; + } + if (typeof arg === "object" && arg !== null) { + if (typeof arg.toString === "function") { + return BigInt(arg.toString()); + } + } + throw new Error("Cannot convert " + typeof arg + " to BigInt"); +} // complete ethereum unit map var unitMap = { - 'noether': '0', + noether: "0", // eslint-disable-line - 'wei': '1', + wei: "1", // eslint-disable-line - 'kwei': '1000', + kwei: "1000", // eslint-disable-line - 'Kwei': '1000', + Kwei: "1000", // eslint-disable-line - 'babbage': '1000', + babbage: "1000", // eslint-disable-line - 'femtoether': '1000', + femtoether: "1000", // eslint-disable-line - 'mwei': '1000000', + mwei: "1000000", // eslint-disable-line - 'Mwei': '1000000', + Mwei: "1000000", // eslint-disable-line - 'lovelace': '1000000', + lovelace: "1000000", // eslint-disable-line - 'picoether': '1000000', + picoether: "1000000", // eslint-disable-line - 'gwei': '1000000000', + gwei: "1000000000", // eslint-disable-line - 'Gwei': '1000000000', + Gwei: "1000000000", // eslint-disable-line - 'shannon': '1000000000', + shannon: "1000000000", // eslint-disable-line - 'nanoether': '1000000000', + nanoether: "1000000000", // eslint-disable-line - 'nano': '1000000000', + nano: "1000000000", // eslint-disable-line - 'szabo': '1000000000000', + szabo: "1000000000000", // eslint-disable-line - 'microether': '1000000000000', + microether: "1000000000000", // eslint-disable-line - 'micro': '1000000000000', + micro: "1000000000000", // eslint-disable-line - 'finney': '1000000000000000', + finney: "1000000000000000", // eslint-disable-line - 'milliether': '1000000000000000', + milliether: "1000000000000000", // eslint-disable-line - 'milli': '1000000000000000', + milli: "1000000000000000", // eslint-disable-line - 'ether': '1000000000000000000', + ether: "1000000000000000000", // eslint-disable-line - 'kether': '1000000000000000000000', + kether: "1000000000000000000000", // eslint-disable-line - 'grand': '1000000000000000000000', + grand: "1000000000000000000000", // eslint-disable-line - 'mether': '1000000000000000000000000', + mether: "1000000000000000000000000", // eslint-disable-line - 'gether': '1000000000000000000000000000', + gether: "1000000000000000000000000000", // eslint-disable-line - 'tether': '1000000000000000000000000000000' // eslint-disable-line + tether: "1000000000000000000000000000000" // eslint-disable-line }; /** @@ -3709,29 +171,42 @@ var unitMap = { * * @method getValueOfUnit * @param {String} unit the unit to convert to, default ether - * @returns {BigNumber} value of the unit (in Wei) + * @returns {bigint} value of the unit (in Wei) * @throws error if the unit is not correct:w */ function getValueOfUnit(unitInput) { - var unit = unitInput ? unitInput.toLowerCase() : 'ether'; + var unit = unitInput ? unitInput.toLowerCase() : "ether"; var unitValue = unitMap[unit]; // eslint-disable-line - if (typeof unitValue !== 'string') { + if (typeof unitValue !== "string") { throw new Error("[ethjs-unit] the unit provided " + unitInput + " doesn't exists, please use the one of the following units " + JSON.stringify(unitMap, null, 2)); } - return new BN(unitValue, 10); + return BigInt(unitValue); } + +/** + * Converts a number to a string + * + * @method numberToString + * @param {Number|bigint|String|Object} arg the number to convert to a string + * @returns {String} the string representation of the number + * @throws error if the number is invalid + */ function numberToString(arg) { - if (typeof arg === 'string') { + if (typeof arg === "string") { if (!arg.match(/^-?[0-9.]+$/)) { throw new Error("while converting number to string, invalid number value '" + arg + "', should be a number matching (^-?[0-9.]+)."); } return arg; } - if (typeof arg === 'number') { + if (typeof arg === "number") { return String(arg); } - if (typeof arg === 'object' && arg.toString && (arg.toTwos || arg.dividedToIntegerBy)) { + // eslint-disable-next-line valid-typeof + if (typeof arg === "bigint") { + return arg.toString(); + } + if (typeof arg === "object" && arg.toString && (arg.toTwos || arg.dividedToIntegerBy)) { if (arg.toPrecision) { return String(arg.toPrecision()); } @@ -3739,16 +214,27 @@ function numberToString(arg) { } throw new Error("while converting number to string, invalid number value '" + arg + "' type " + typeof arg + "."); } + +/** + * Converts a number from Wei to a string + * + * @method fromWei + * @param {Number|bigint|String|Object} weiInput the number to convert from Wei + * @param {String} unit the unit to convert to, default ether + * @param {Object} options the options to use for the conversion + * @returns {String} the string representation of the number + * @throws error if the number is invalid + */ function fromWei(weiInput, unit, optionsInput) { - var wei = numberToBN(weiInput); // eslint-disable-line - var negative = wei.lt(zero); // eslint-disable-line + var wei = numberToBigInt(weiInput); // eslint-disable-line + var negative = wei < zero; // eslint-disable-line var base = getValueOfUnit(unit); var baseLength = unitMap[unit].length - 1 || 1; var options = optionsInput || {}; if (negative) { - wei = wei.mul(negative1); + wei = wei * negative1; } - var fraction = wei.mod(base).toString(10); // eslint-disable-line + var fraction = (wei % base).toString(); // eslint-disable-line while (fraction.length < baseLength) { fraction = "0" + fraction; @@ -3757,60 +243,70 @@ function fromWei(weiInput, unit, optionsInput) { fraction = fraction.match(/^([0-9]*[1-9]|0)(0*)/)[1]; // eslint-disable-line prefer-destructuring } - var whole = wei.div(base).toString(10); // eslint-disable-line + var whole = (wei / base).toString(); // eslint-disable-line if (options.commify) { - whole = whole.replace(/\B(?=(\d{3})+(?!\d))/g, ','); + whole = whole.replace(/\B(?=(\d{3})+(?!\d))/g, ","); } - var value = "" + whole + (fraction == '0' ? '' : "." + fraction); // eslint-disable-line + var value = "" + whole + (fraction == "0" ? "" : "." + fraction); // eslint-disable-line if (negative) { value = "-" + value; } return value; } + +/** + * Converts a number to Wei + * + * @method toWei + * @param {Number|bigint|String|Object} etherInput the number to convert to Wei + * @param {String} unit the unit to convert to, default ether + * @returns {bigint} the number in Wei + * @throws error if the number is invalid + */ function toWei(etherInput, unit) { var ether = numberToString(etherInput); // eslint-disable-line var base = getValueOfUnit(unit); var baseLength = unitMap[unit].length - 1 || 1; // Is it negative? - var negative = ether.substring(0, 1) === '-'; // eslint-disable-line + var negative = ether.substring(0, 1) === "-"; // eslint-disable-line if (negative) { ether = ether.substring(1); } - if (ether === '.') { + if (ether === ".") { throw new Error("[ethjs-unit] while converting number " + etherInput + " to wei, invalid value"); } // Split it into a whole and fractional part - var comps = ether.split('.'); // eslint-disable-line + var comps = ether.split("."); // eslint-disable-line if (comps.length > 2) { throw new Error("[ethjs-unit] while converting number " + etherInput + " to wei, too many decimal points"); } - var whole = comps[0], - fraction = comps[1]; // eslint-disable-line + var whole = comps[0]; + var fraction = comps[1]; // eslint-disable-line if (!whole) { - whole = '0'; + whole = "0"; } if (!fraction) { - fraction = '0'; + fraction = "0"; } if (fraction.length > baseLength) { throw new Error("[ethjs-unit] while converting number " + etherInput + " to wei, too many decimal places"); } while (fraction.length < baseLength) { - fraction += '0'; + fraction += "0"; } - whole = new BN(whole); - fraction = new BN(fraction); - var wei = whole.mul(base).add(fraction); // eslint-disable-line + whole = BigInt(whole); + fraction = BigInt(fraction); + var wei = whole * base + fraction; // eslint-disable-line if (negative) { - wei = wei.mul(negative1); + wei = wei * negative1; } - return new BN(wei.toString(10), 10); + return wei; } module.exports = { unitMap: unitMap, @@ -3820,123 +316,6 @@ module.exports = { toWei: toWei }; -/***/ }), -/* 2 */ -/***/ (function(module, exports) { - -module.exports = function(module) { - if(!module.webpackPolyfill) { - module.deprecate = function() {}; - module.paths = []; - // module.parent = undefined by default - if(!module.children) module.children = []; - Object.defineProperty(module, "loaded", { - enumerable: true, - get: function() { - return module.l; - } - }); - Object.defineProperty(module, "id", { - enumerable: true, - get: function() { - return module.i; - } - }); - module.webpackPolyfill = 1; - } - return module; -}; - - -/***/ }), -/* 3 */ -/***/ (function(module, exports) { - -/* (ignored) */ - -/***/ }), -/* 4 */ -/***/ (function(module, exports, __webpack_require__) { - -var BN = __webpack_require__(0); -var stripHexPrefix = __webpack_require__(5); - -/** - * Returns a BN object, converts a number value to a BN - * @param {String|Number|Object} `arg` input a string number, hex string number, number, BigNumber or BN object - * @return {Object} `output` BN object of the number - * @throws if the argument is not an array, object that isn't a bignumber, not a string number or number - */ -module.exports = function numberToBN(arg) { - if (typeof arg === 'string' || typeof arg === 'number') { - var multiplier = new BN(1); // eslint-disable-line - var formattedString = String(arg).toLowerCase().trim(); - var isHexPrefixed = formattedString.substr(0, 2) === '0x' || formattedString.substr(0, 3) === '-0x'; - var stringArg = stripHexPrefix(formattedString); // eslint-disable-line - if (stringArg.substr(0, 1) === '-') { - stringArg = stripHexPrefix(stringArg.slice(1)); - multiplier = new BN(-1, 10); - } - stringArg = stringArg === '' ? '0' : stringArg; - - if ((!stringArg.match(/^-?[0-9]+$/) && stringArg.match(/^[0-9A-Fa-f]+$/)) - || stringArg.match(/^[a-fA-F]+$/) - || (isHexPrefixed === true && stringArg.match(/^[0-9A-Fa-f]+$/))) { - return new BN(stringArg, 16).mul(multiplier); - } - - if ((stringArg.match(/^-?[0-9]+$/) || stringArg === '') && isHexPrefixed === false) { - return new BN(stringArg, 10).mul(multiplier); - } - } else if (typeof arg === 'object' && arg.toString && (!arg.pop && !arg.push)) { - if (arg.toString(10).match(/^-?[0-9]+$/) && (arg.mul || arg.dividedToIntegerBy)) { - return new BN(arg.toString(10), 10); - } - } - - throw new Error('[number-to-bn] while converting number ' + JSON.stringify(arg) + ' to BN.js instance, error: invalid number value. Value must be an integer, hex string, BN or BigNumber instance. Note, decimals are not supported.'); -} - - -/***/ }), -/* 5 */ -/***/ (function(module, exports, __webpack_require__) { - -var isHexPrefixed = __webpack_require__(6); - -/** - * Removes '0x' from a given `String` is present - * @param {String} str the string value - * @return {String|Optional} a string by pass if necessary - */ -module.exports = function stripHexPrefix(str) { - if (typeof str !== 'string') { - return str; - } - - return isHexPrefixed(str) ? str.slice(2) : str; -} - - -/***/ }), -/* 6 */ -/***/ (function(module, exports) { - -/** - * Returns a `Boolean` on whether or not the a `String` starts with '0x' - * @param {String} str the string input value - * @return {Boolean} a boolean if it is or is not hex prefixed - * @throws if the str input is not a string - */ -module.exports = function isHexPrefixed(str) { - if (typeof str !== 'string') { - throw new Error("[is-hex-prefixed] value must be type 'string', is currently type " + (typeof str) + ", while checking isHexPrefixed."); - } - - return str.slice(0, 2) === '0x'; -} - - /***/ }) /******/ ]); }); diff --git a/dist/ethjs-unit.js.map b/dist/ethjs-unit.js.map index b889b02..cfe6ae6 100644 --- a/dist/ethjs-unit.js.map +++ b/dist/ethjs-unit.js.map @@ -1 +1 @@ -{"version":3,"file":"ethjs-unit.js","sources":["webpack:///webpack/universalModuleDefinition","webpack:///webpack/bootstrap eae9368e4fe34ce4ed5a","webpack:///./node_modules/bn.js/lib/bn.js","webpack:///./lib/index.js","webpack:///(webpack)/buildin/module.js","webpack:///buffer (ignored)","webpack:///./node_modules/@metamask/number-to-bn/src/index.js","webpack:///./node_modules/strip-hex-prefix/src/index.js","webpack:///./node_modules/is-hex-prefixed/src/index.js"],"sourcesContent":["(function webpackUniversalModuleDefinition(root, factory) {\n\tif(typeof exports === 'object' && typeof module === 'object')\n\t\tmodule.exports = factory();\n\telse if(typeof define === 'function' && define.amd)\n\t\tdefine(\"ethUnit\", [], factory);\n\telse if(typeof exports === 'object')\n\t\texports[\"ethUnit\"] = factory();\n\telse\n\t\troot[\"ethUnit\"] = factory();\n})(typeof self !== 'undefined' ? self : this, function() {\nreturn \n\n\n// WEBPACK FOOTER //\n// webpack/universalModuleDefinition"," \t// The module cache\n \tvar installedModules = {};\n\n \t// The require function\n \tfunction __webpack_require__(moduleId) {\n\n \t\t// Check if module is in cache\n \t\tif(installedModules[moduleId]) {\n \t\t\treturn installedModules[moduleId].exports;\n \t\t}\n \t\t// Create a new module (and put it into the cache)\n \t\tvar module = installedModules[moduleId] = {\n \t\t\ti: moduleId,\n \t\t\tl: false,\n \t\t\texports: {}\n \t\t};\n\n \t\t// Execute the module function\n \t\tmodules[moduleId].call(module.exports, module, module.exports, __webpack_require__);\n\n \t\t// Flag the module as loaded\n \t\tmodule.l = true;\n\n \t\t// Return the exports of the module\n \t\treturn module.exports;\n \t}\n\n\n \t// expose the modules object (__webpack_modules__)\n \t__webpack_require__.m = modules;\n\n \t// expose the module cache\n \t__webpack_require__.c = installedModules;\n\n \t// define getter function for harmony exports\n \t__webpack_require__.d = function(exports, name, getter) {\n \t\tif(!__webpack_require__.o(exports, name)) {\n \t\t\tObject.defineProperty(exports, name, {\n \t\t\t\tconfigurable: false,\n \t\t\t\tenumerable: true,\n \t\t\t\tget: getter\n \t\t\t});\n \t\t}\n \t};\n\n \t// getDefaultExport function for compatibility with non-harmony modules\n \t__webpack_require__.n = function(module) {\n \t\tvar getter = module && module.__esModule ?\n \t\t\tfunction getDefault() { return module['default']; } :\n \t\t\tfunction getModuleExports() { return module; };\n \t\t__webpack_require__.d(getter, 'a', getter);\n \t\treturn getter;\n \t};\n\n \t// Object.prototype.hasOwnProperty.call\n \t__webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); };\n\n \t// __webpack_public_path__\n \t__webpack_require__.p = \"\";\n\n \t// Load entry module and return exports\n \treturn __webpack_require__(__webpack_require__.s = 1);\n\n\n\n// WEBPACK FOOTER //\n// webpack/bootstrap eae9368e4fe34ce4ed5a","(function (module, exports) {\n 'use strict';\n\n // Utils\n function assert (val, msg) {\n if (!val) throw new Error(msg || 'Assertion failed');\n }\n\n // Could use `inherits` module, but don't want to move from single file\n // architecture yet.\n function inherits (ctor, superCtor) {\n ctor.super_ = superCtor;\n var TempCtor = function () {};\n TempCtor.prototype = superCtor.prototype;\n ctor.prototype = new TempCtor();\n ctor.prototype.constructor = ctor;\n }\n\n // BN\n\n function BN (number, base, endian) {\n if (BN.isBN(number)) {\n return number;\n }\n\n this.negative = 0;\n this.words = null;\n this.length = 0;\n\n // Reduction context\n this.red = null;\n\n if (number !== null) {\n if (base === 'le' || base === 'be') {\n endian = base;\n base = 10;\n }\n\n this._init(number || 0, base || 10, endian || 'be');\n }\n }\n if (typeof module === 'object') {\n module.exports = BN;\n } else {\n exports.BN = BN;\n }\n\n BN.BN = BN;\n BN.wordSize = 26;\n\n var Buffer;\n try {\n if (typeof window !== 'undefined' && typeof window.Buffer !== 'undefined') {\n Buffer = window.Buffer;\n } else {\n Buffer = require('buffer').Buffer;\n }\n } catch (e) {\n }\n\n BN.isBN = function isBN (num) {\n if (num instanceof BN) {\n return true;\n }\n\n return num !== null && typeof num === 'object' &&\n num.constructor.wordSize === BN.wordSize && Array.isArray(num.words);\n };\n\n BN.max = function max (left, right) {\n if (left.cmp(right) > 0) return left;\n return right;\n };\n\n BN.min = function min (left, right) {\n if (left.cmp(right) < 0) return left;\n return right;\n };\n\n BN.prototype._init = function init (number, base, endian) {\n if (typeof number === 'number') {\n return this._initNumber(number, base, endian);\n }\n\n if (typeof number === 'object') {\n return this._initArray(number, base, endian);\n }\n\n if (base === 'hex') {\n base = 16;\n }\n assert(base === (base | 0) && base >= 2 && base <= 36);\n\n number = number.toString().replace(/\\s+/g, '');\n var start = 0;\n if (number[0] === '-') {\n start++;\n this.negative = 1;\n }\n\n if (start < number.length) {\n if (base === 16) {\n this._parseHex(number, start, endian);\n } else {\n this._parseBase(number, base, start);\n if (endian === 'le') {\n this._initArray(this.toArray(), base, endian);\n }\n }\n }\n };\n\n BN.prototype._initNumber = function _initNumber (number, base, endian) {\n if (number < 0) {\n this.negative = 1;\n number = -number;\n }\n if (number < 0x4000000) {\n this.words = [number & 0x3ffffff];\n this.length = 1;\n } else if (number < 0x10000000000000) {\n this.words = [\n number & 0x3ffffff,\n (number / 0x4000000) & 0x3ffffff\n ];\n this.length = 2;\n } else {\n assert(number < 0x20000000000000); // 2 ^ 53 (unsafe)\n this.words = [\n number & 0x3ffffff,\n (number / 0x4000000) & 0x3ffffff,\n 1\n ];\n this.length = 3;\n }\n\n if (endian !== 'le') return;\n\n // Reverse the bytes\n this._initArray(this.toArray(), base, endian);\n };\n\n BN.prototype._initArray = function _initArray (number, base, endian) {\n // Perhaps a Uint8Array\n assert(typeof number.length === 'number');\n if (number.length <= 0) {\n this.words = [0];\n this.length = 1;\n return this;\n }\n\n this.length = Math.ceil(number.length / 3);\n this.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n this.words[i] = 0;\n }\n\n var j, w;\n var off = 0;\n if (endian === 'be') {\n for (i = number.length - 1, j = 0; i >= 0; i -= 3) {\n w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16);\n this.words[j] |= (w << off) & 0x3ffffff;\n this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n off += 24;\n if (off >= 26) {\n off -= 26;\n j++;\n }\n }\n } else if (endian === 'le') {\n for (i = 0, j = 0; i < number.length; i += 3) {\n w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16);\n this.words[j] |= (w << off) & 0x3ffffff;\n this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n off += 24;\n if (off >= 26) {\n off -= 26;\n j++;\n }\n }\n }\n return this._strip();\n };\n\n function parseHex4Bits (string, index) {\n var c = string.charCodeAt(index);\n // '0' - '9'\n if (c >= 48 && c <= 57) {\n return c - 48;\n // 'A' - 'F'\n } else if (c >= 65 && c <= 70) {\n return c - 55;\n // 'a' - 'f'\n } else if (c >= 97 && c <= 102) {\n return c - 87;\n } else {\n assert(false, 'Invalid character in ' + string);\n }\n }\n\n function parseHexByte (string, lowerBound, index) {\n var r = parseHex4Bits(string, index);\n if (index - 1 >= lowerBound) {\n r |= parseHex4Bits(string, index - 1) << 4;\n }\n return r;\n }\n\n BN.prototype._parseHex = function _parseHex (number, start, endian) {\n // Create possibly bigger array to ensure that it fits the number\n this.length = Math.ceil((number.length - start) / 6);\n this.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n this.words[i] = 0;\n }\n\n // 24-bits chunks\n var off = 0;\n var j = 0;\n\n var w;\n if (endian === 'be') {\n for (i = number.length - 1; i >= start; i -= 2) {\n w = parseHexByte(number, start, i) << off;\n this.words[j] |= w & 0x3ffffff;\n if (off >= 18) {\n off -= 18;\n j += 1;\n this.words[j] |= w >>> 26;\n } else {\n off += 8;\n }\n }\n } else {\n var parseLength = number.length - start;\n for (i = parseLength % 2 === 0 ? start + 1 : start; i < number.length; i += 2) {\n w = parseHexByte(number, start, i) << off;\n this.words[j] |= w & 0x3ffffff;\n if (off >= 18) {\n off -= 18;\n j += 1;\n this.words[j] |= w >>> 26;\n } else {\n off += 8;\n }\n }\n }\n\n this._strip();\n };\n\n function parseBase (str, start, end, mul) {\n var r = 0;\n var b = 0;\n var len = Math.min(str.length, end);\n for (var i = start; i < len; i++) {\n var c = str.charCodeAt(i) - 48;\n\n r *= mul;\n\n // 'a'\n if (c >= 49) {\n b = c - 49 + 0xa;\n\n // 'A'\n } else if (c >= 17) {\n b = c - 17 + 0xa;\n\n // '0' - '9'\n } else {\n b = c;\n }\n assert(c >= 0 && b < mul, 'Invalid character');\n r += b;\n }\n return r;\n }\n\n BN.prototype._parseBase = function _parseBase (number, base, start) {\n // Initialize as zero\n this.words = [0];\n this.length = 1;\n\n // Find length of limb in base\n for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base) {\n limbLen++;\n }\n limbLen--;\n limbPow = (limbPow / base) | 0;\n\n var total = number.length - start;\n var mod = total % limbLen;\n var end = Math.min(total, total - mod) + start;\n\n var word = 0;\n for (var i = start; i < end; i += limbLen) {\n word = parseBase(number, i, i + limbLen, base);\n\n this.imuln(limbPow);\n if (this.words[0] + word < 0x4000000) {\n this.words[0] += word;\n } else {\n this._iaddn(word);\n }\n }\n\n if (mod !== 0) {\n var pow = 1;\n word = parseBase(number, i, number.length, base);\n\n for (i = 0; i < mod; i++) {\n pow *= base;\n }\n\n this.imuln(pow);\n if (this.words[0] + word < 0x4000000) {\n this.words[0] += word;\n } else {\n this._iaddn(word);\n }\n }\n\n this._strip();\n };\n\n BN.prototype.copy = function copy (dest) {\n dest.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n dest.words[i] = this.words[i];\n }\n dest.length = this.length;\n dest.negative = this.negative;\n dest.red = this.red;\n };\n\n function move (dest, src) {\n dest.words = src.words;\n dest.length = src.length;\n dest.negative = src.negative;\n dest.red = src.red;\n }\n\n BN.prototype._move = function _move (dest) {\n move(dest, this);\n };\n\n BN.prototype.clone = function clone () {\n var r = new BN(null);\n this.copy(r);\n return r;\n };\n\n BN.prototype._expand = function _expand (size) {\n while (this.length < size) {\n this.words[this.length++] = 0;\n }\n return this;\n };\n\n // Remove leading `0` from `this`\n BN.prototype._strip = function strip () {\n while (this.length > 1 && this.words[this.length - 1] === 0) {\n this.length--;\n }\n return this._normSign();\n };\n\n BN.prototype._normSign = function _normSign () {\n // -0 = 0\n if (this.length === 1 && this.words[0] === 0) {\n this.negative = 0;\n }\n return this;\n };\n\n // Check Symbol.for because not everywhere where Symbol defined\n // See https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Symbol#Browser_compatibility\n if (typeof Symbol !== 'undefined' && typeof Symbol.for === 'function') {\n try {\n BN.prototype[Symbol.for('nodejs.util.inspect.custom')] = inspect;\n } catch (e) {\n BN.prototype.inspect = inspect;\n }\n } else {\n BN.prototype.inspect = inspect;\n }\n\n function inspect () {\n return (this.red ? '';\n }\n\n /*\n\n var zeros = [];\n var groupSizes = [];\n var groupBases = [];\n\n var s = '';\n var i = -1;\n while (++i < BN.wordSize) {\n zeros[i] = s;\n s += '0';\n }\n groupSizes[0] = 0;\n groupSizes[1] = 0;\n groupBases[0] = 0;\n groupBases[1] = 0;\n var base = 2 - 1;\n while (++base < 36 + 1) {\n var groupSize = 0;\n var groupBase = 1;\n while (groupBase < (1 << BN.wordSize) / base) {\n groupBase *= base;\n groupSize += 1;\n }\n groupSizes[base] = groupSize;\n groupBases[base] = groupBase;\n }\n\n */\n\n var zeros = [\n '',\n '0',\n '00',\n '000',\n '0000',\n '00000',\n '000000',\n '0000000',\n '00000000',\n '000000000',\n '0000000000',\n '00000000000',\n '000000000000',\n '0000000000000',\n '00000000000000',\n '000000000000000',\n '0000000000000000',\n '00000000000000000',\n '000000000000000000',\n '0000000000000000000',\n '00000000000000000000',\n '000000000000000000000',\n '0000000000000000000000',\n '00000000000000000000000',\n '000000000000000000000000',\n '0000000000000000000000000'\n ];\n\n var groupSizes = [\n 0, 0,\n 25, 16, 12, 11, 10, 9, 8,\n 8, 7, 7, 7, 7, 6, 6,\n 6, 6, 6, 6, 6, 5, 5,\n 5, 5, 5, 5, 5, 5, 5,\n 5, 5, 5, 5, 5, 5, 5\n ];\n\n var groupBases = [\n 0, 0,\n 33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216,\n 43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625,\n 16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632,\n 6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149,\n 24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176\n ];\n\n BN.prototype.toString = function toString (base, padding) {\n base = base || 10;\n padding = padding | 0 || 1;\n\n var out;\n if (base === 16 || base === 'hex') {\n out = '';\n var off = 0;\n var carry = 0;\n for (var i = 0; i < this.length; i++) {\n var w = this.words[i];\n var word = (((w << off) | carry) & 0xffffff).toString(16);\n carry = (w >>> (24 - off)) & 0xffffff;\n off += 2;\n if (off >= 26) {\n off -= 26;\n i--;\n }\n if (carry !== 0 || i !== this.length - 1) {\n out = zeros[6 - word.length] + word + out;\n } else {\n out = word + out;\n }\n }\n if (carry !== 0) {\n out = carry.toString(16) + out;\n }\n while (out.length % padding !== 0) {\n out = '0' + out;\n }\n if (this.negative !== 0) {\n out = '-' + out;\n }\n return out;\n }\n\n if (base === (base | 0) && base >= 2 && base <= 36) {\n // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base));\n var groupSize = groupSizes[base];\n // var groupBase = Math.pow(base, groupSize);\n var groupBase = groupBases[base];\n out = '';\n var c = this.clone();\n c.negative = 0;\n while (!c.isZero()) {\n var r = c.modrn(groupBase).toString(base);\n c = c.idivn(groupBase);\n\n if (!c.isZero()) {\n out = zeros[groupSize - r.length] + r + out;\n } else {\n out = r + out;\n }\n }\n if (this.isZero()) {\n out = '0' + out;\n }\n while (out.length % padding !== 0) {\n out = '0' + out;\n }\n if (this.negative !== 0) {\n out = '-' + out;\n }\n return out;\n }\n\n assert(false, 'Base should be between 2 and 36');\n };\n\n BN.prototype.toNumber = function toNumber () {\n var ret = this.words[0];\n if (this.length === 2) {\n ret += this.words[1] * 0x4000000;\n } else if (this.length === 3 && this.words[2] === 0x01) {\n // NOTE: at this stage it is known that the top bit is set\n ret += 0x10000000000000 + (this.words[1] * 0x4000000);\n } else if (this.length > 2) {\n assert(false, 'Number can only safely store up to 53 bits');\n }\n return (this.negative !== 0) ? -ret : ret;\n };\n\n BN.prototype.toJSON = function toJSON () {\n return this.toString(16, 2);\n };\n\n if (Buffer) {\n BN.prototype.toBuffer = function toBuffer (endian, length) {\n return this.toArrayLike(Buffer, endian, length);\n };\n }\n\n BN.prototype.toArray = function toArray (endian, length) {\n return this.toArrayLike(Array, endian, length);\n };\n\n var allocate = function allocate (ArrayType, size) {\n if (ArrayType.allocUnsafe) {\n return ArrayType.allocUnsafe(size);\n }\n return new ArrayType(size);\n };\n\n BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) {\n this._strip();\n\n var byteLength = this.byteLength();\n var reqLength = length || Math.max(1, byteLength);\n assert(byteLength <= reqLength, 'byte array longer than desired length');\n assert(reqLength > 0, 'Requested array length <= 0');\n\n var res = allocate(ArrayType, reqLength);\n var postfix = endian === 'le' ? 'LE' : 'BE';\n this['_toArrayLike' + postfix](res, byteLength);\n return res;\n };\n\n BN.prototype._toArrayLikeLE = function _toArrayLikeLE (res, byteLength) {\n var position = 0;\n var carry = 0;\n\n for (var i = 0, shift = 0; i < this.length; i++) {\n var word = (this.words[i] << shift) | carry;\n\n res[position++] = word & 0xff;\n if (position < res.length) {\n res[position++] = (word >> 8) & 0xff;\n }\n if (position < res.length) {\n res[position++] = (word >> 16) & 0xff;\n }\n\n if (shift === 6) {\n if (position < res.length) {\n res[position++] = (word >> 24) & 0xff;\n }\n carry = 0;\n shift = 0;\n } else {\n carry = word >>> 24;\n shift += 2;\n }\n }\n\n if (position < res.length) {\n res[position++] = carry;\n\n while (position < res.length) {\n res[position++] = 0;\n }\n }\n };\n\n BN.prototype._toArrayLikeBE = function _toArrayLikeBE (res, byteLength) {\n var position = res.length - 1;\n var carry = 0;\n\n for (var i = 0, shift = 0; i < this.length; i++) {\n var word = (this.words[i] << shift) | carry;\n\n res[position--] = word & 0xff;\n if (position >= 0) {\n res[position--] = (word >> 8) & 0xff;\n }\n if (position >= 0) {\n res[position--] = (word >> 16) & 0xff;\n }\n\n if (shift === 6) {\n if (position >= 0) {\n res[position--] = (word >> 24) & 0xff;\n }\n carry = 0;\n shift = 0;\n } else {\n carry = word >>> 24;\n shift += 2;\n }\n }\n\n if (position >= 0) {\n res[position--] = carry;\n\n while (position >= 0) {\n res[position--] = 0;\n }\n }\n };\n\n if (Math.clz32) {\n BN.prototype._countBits = function _countBits (w) {\n return 32 - Math.clz32(w);\n };\n } else {\n BN.prototype._countBits = function _countBits (w) {\n var t = w;\n var r = 0;\n if (t >= 0x1000) {\n r += 13;\n t >>>= 13;\n }\n if (t >= 0x40) {\n r += 7;\n t >>>= 7;\n }\n if (t >= 0x8) {\n r += 4;\n t >>>= 4;\n }\n if (t >= 0x02) {\n r += 2;\n t >>>= 2;\n }\n return r + t;\n };\n }\n\n BN.prototype._zeroBits = function _zeroBits (w) {\n // Short-cut\n if (w === 0) return 26;\n\n var t = w;\n var r = 0;\n if ((t & 0x1fff) === 0) {\n r += 13;\n t >>>= 13;\n }\n if ((t & 0x7f) === 0) {\n r += 7;\n t >>>= 7;\n }\n if ((t & 0xf) === 0) {\n r += 4;\n t >>>= 4;\n }\n if ((t & 0x3) === 0) {\n r += 2;\n t >>>= 2;\n }\n if ((t & 0x1) === 0) {\n r++;\n }\n return r;\n };\n\n // Return number of used bits in a BN\n BN.prototype.bitLength = function bitLength () {\n var w = this.words[this.length - 1];\n var hi = this._countBits(w);\n return (this.length - 1) * 26 + hi;\n };\n\n function toBitArray (num) {\n var w = new Array(num.bitLength());\n\n for (var bit = 0; bit < w.length; bit++) {\n var off = (bit / 26) | 0;\n var wbit = bit % 26;\n\n w[bit] = (num.words[off] >>> wbit) & 0x01;\n }\n\n return w;\n }\n\n // Number of trailing zero bits\n BN.prototype.zeroBits = function zeroBits () {\n if (this.isZero()) return 0;\n\n var r = 0;\n for (var i = 0; i < this.length; i++) {\n var b = this._zeroBits(this.words[i]);\n r += b;\n if (b !== 26) break;\n }\n return r;\n };\n\n BN.prototype.byteLength = function byteLength () {\n return Math.ceil(this.bitLength() / 8);\n };\n\n BN.prototype.toTwos = function toTwos (width) {\n if (this.negative !== 0) {\n return this.abs().inotn(width).iaddn(1);\n }\n return this.clone();\n };\n\n BN.prototype.fromTwos = function fromTwos (width) {\n if (this.testn(width - 1)) {\n return this.notn(width).iaddn(1).ineg();\n }\n return this.clone();\n };\n\n BN.prototype.isNeg = function isNeg () {\n return this.negative !== 0;\n };\n\n // Return negative clone of `this`\n BN.prototype.neg = function neg () {\n return this.clone().ineg();\n };\n\n BN.prototype.ineg = function ineg () {\n if (!this.isZero()) {\n this.negative ^= 1;\n }\n\n return this;\n };\n\n // Or `num` with `this` in-place\n BN.prototype.iuor = function iuor (num) {\n while (this.length < num.length) {\n this.words[this.length++] = 0;\n }\n\n for (var i = 0; i < num.length; i++) {\n this.words[i] = this.words[i] | num.words[i];\n }\n\n return this._strip();\n };\n\n BN.prototype.ior = function ior (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuor(num);\n };\n\n // Or `num` with `this`\n BN.prototype.or = function or (num) {\n if (this.length > num.length) return this.clone().ior(num);\n return num.clone().ior(this);\n };\n\n BN.prototype.uor = function uor (num) {\n if (this.length > num.length) return this.clone().iuor(num);\n return num.clone().iuor(this);\n };\n\n // And `num` with `this` in-place\n BN.prototype.iuand = function iuand (num) {\n // b = min-length(num, this)\n var b;\n if (this.length > num.length) {\n b = num;\n } else {\n b = this;\n }\n\n for (var i = 0; i < b.length; i++) {\n this.words[i] = this.words[i] & num.words[i];\n }\n\n this.length = b.length;\n\n return this._strip();\n };\n\n BN.prototype.iand = function iand (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuand(num);\n };\n\n // And `num` with `this`\n BN.prototype.and = function and (num) {\n if (this.length > num.length) return this.clone().iand(num);\n return num.clone().iand(this);\n };\n\n BN.prototype.uand = function uand (num) {\n if (this.length > num.length) return this.clone().iuand(num);\n return num.clone().iuand(this);\n };\n\n // Xor `num` with `this` in-place\n BN.prototype.iuxor = function iuxor (num) {\n // a.length > b.length\n var a;\n var b;\n if (this.length > num.length) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n for (var i = 0; i < b.length; i++) {\n this.words[i] = a.words[i] ^ b.words[i];\n }\n\n if (this !== a) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n this.length = a.length;\n\n return this._strip();\n };\n\n BN.prototype.ixor = function ixor (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuxor(num);\n };\n\n // Xor `num` with `this`\n BN.prototype.xor = function xor (num) {\n if (this.length > num.length) return this.clone().ixor(num);\n return num.clone().ixor(this);\n };\n\n BN.prototype.uxor = function uxor (num) {\n if (this.length > num.length) return this.clone().iuxor(num);\n return num.clone().iuxor(this);\n };\n\n // Not ``this`` with ``width`` bitwidth\n BN.prototype.inotn = function inotn (width) {\n assert(typeof width === 'number' && width >= 0);\n\n var bytesNeeded = Math.ceil(width / 26) | 0;\n var bitsLeft = width % 26;\n\n // Extend the buffer with leading zeroes\n this._expand(bytesNeeded);\n\n if (bitsLeft > 0) {\n bytesNeeded--;\n }\n\n // Handle complete words\n for (var i = 0; i < bytesNeeded; i++) {\n this.words[i] = ~this.words[i] & 0x3ffffff;\n }\n\n // Handle the residue\n if (bitsLeft > 0) {\n this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft));\n }\n\n // And remove leading zeroes\n return this._strip();\n };\n\n BN.prototype.notn = function notn (width) {\n return this.clone().inotn(width);\n };\n\n // Set `bit` of `this`\n BN.prototype.setn = function setn (bit, val) {\n assert(typeof bit === 'number' && bit >= 0);\n\n var off = (bit / 26) | 0;\n var wbit = bit % 26;\n\n this._expand(off + 1);\n\n if (val) {\n this.words[off] = this.words[off] | (1 << wbit);\n } else {\n this.words[off] = this.words[off] & ~(1 << wbit);\n }\n\n return this._strip();\n };\n\n // Add `num` to `this` in-place\n BN.prototype.iadd = function iadd (num) {\n var r;\n\n // negative + positive\n if (this.negative !== 0 && num.negative === 0) {\n this.negative = 0;\n r = this.isub(num);\n this.negative ^= 1;\n return this._normSign();\n\n // positive + negative\n } else if (this.negative === 0 && num.negative !== 0) {\n num.negative = 0;\n r = this.isub(num);\n num.negative = 1;\n return r._normSign();\n }\n\n // a.length > b.length\n var a, b;\n if (this.length > num.length) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n var carry = 0;\n for (var i = 0; i < b.length; i++) {\n r = (a.words[i] | 0) + (b.words[i] | 0) + carry;\n this.words[i] = r & 0x3ffffff;\n carry = r >>> 26;\n }\n for (; carry !== 0 && i < a.length; i++) {\n r = (a.words[i] | 0) + carry;\n this.words[i] = r & 0x3ffffff;\n carry = r >>> 26;\n }\n\n this.length = a.length;\n if (carry !== 0) {\n this.words[this.length] = carry;\n this.length++;\n // Copy the rest of the words\n } else if (a !== this) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n return this;\n };\n\n // Add `num` to `this`\n BN.prototype.add = function add (num) {\n var res;\n if (num.negative !== 0 && this.negative === 0) {\n num.negative = 0;\n res = this.sub(num);\n num.negative ^= 1;\n return res;\n } else if (num.negative === 0 && this.negative !== 0) {\n this.negative = 0;\n res = num.sub(this);\n this.negative = 1;\n return res;\n }\n\n if (this.length > num.length) return this.clone().iadd(num);\n\n return num.clone().iadd(this);\n };\n\n // Subtract `num` from `this` in-place\n BN.prototype.isub = function isub (num) {\n // this - (-num) = this + num\n if (num.negative !== 0) {\n num.negative = 0;\n var r = this.iadd(num);\n num.negative = 1;\n return r._normSign();\n\n // -this - num = -(this + num)\n } else if (this.negative !== 0) {\n this.negative = 0;\n this.iadd(num);\n this.negative = 1;\n return this._normSign();\n }\n\n // At this point both numbers are positive\n var cmp = this.cmp(num);\n\n // Optimization - zeroify\n if (cmp === 0) {\n this.negative = 0;\n this.length = 1;\n this.words[0] = 0;\n return this;\n }\n\n // a > b\n var a, b;\n if (cmp > 0) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n var carry = 0;\n for (var i = 0; i < b.length; i++) {\n r = (a.words[i] | 0) - (b.words[i] | 0) + carry;\n carry = r >> 26;\n this.words[i] = r & 0x3ffffff;\n }\n for (; carry !== 0 && i < a.length; i++) {\n r = (a.words[i] | 0) + carry;\n carry = r >> 26;\n this.words[i] = r & 0x3ffffff;\n }\n\n // Copy rest of the words\n if (carry === 0 && i < a.length && a !== this) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n this.length = Math.max(this.length, i);\n\n if (a !== this) {\n this.negative = 1;\n }\n\n return this._strip();\n };\n\n // Subtract `num` from `this`\n BN.prototype.sub = function sub (num) {\n return this.clone().isub(num);\n };\n\n function smallMulTo (self, num, out) {\n out.negative = num.negative ^ self.negative;\n var len = (self.length + num.length) | 0;\n out.length = len;\n len = (len - 1) | 0;\n\n // Peel one iteration (compiler can't do it, because of code complexity)\n var a = self.words[0] | 0;\n var b = num.words[0] | 0;\n var r = a * b;\n\n var lo = r & 0x3ffffff;\n var carry = (r / 0x4000000) | 0;\n out.words[0] = lo;\n\n for (var k = 1; k < len; k++) {\n // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n // note that ncarry could be >= 0x3ffffff\n var ncarry = carry >>> 26;\n var rword = carry & 0x3ffffff;\n var maxJ = Math.min(k, num.length - 1);\n for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n var i = (k - j) | 0;\n a = self.words[i] | 0;\n b = num.words[j] | 0;\n r = a * b + rword;\n ncarry += (r / 0x4000000) | 0;\n rword = r & 0x3ffffff;\n }\n out.words[k] = rword | 0;\n carry = ncarry | 0;\n }\n if (carry !== 0) {\n out.words[k] = carry | 0;\n } else {\n out.length--;\n }\n\n return out._strip();\n }\n\n // TODO(indutny): it may be reasonable to omit it for users who don't need\n // to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit\n // multiplication (like elliptic secp256k1).\n var comb10MulTo = function comb10MulTo (self, num, out) {\n var a = self.words;\n var b = num.words;\n var o = out.words;\n var c = 0;\n var lo;\n var mid;\n var hi;\n var a0 = a[0] | 0;\n var al0 = a0 & 0x1fff;\n var ah0 = a0 >>> 13;\n var a1 = a[1] | 0;\n var al1 = a1 & 0x1fff;\n var ah1 = a1 >>> 13;\n var a2 = a[2] | 0;\n var al2 = a2 & 0x1fff;\n var ah2 = a2 >>> 13;\n var a3 = a[3] | 0;\n var al3 = a3 & 0x1fff;\n var ah3 = a3 >>> 13;\n var a4 = a[4] | 0;\n var al4 = a4 & 0x1fff;\n var ah4 = a4 >>> 13;\n var a5 = a[5] | 0;\n var al5 = a5 & 0x1fff;\n var ah5 = a5 >>> 13;\n var a6 = a[6] | 0;\n var al6 = a6 & 0x1fff;\n var ah6 = a6 >>> 13;\n var a7 = a[7] | 0;\n var al7 = a7 & 0x1fff;\n var ah7 = a7 >>> 13;\n var a8 = a[8] | 0;\n var al8 = a8 & 0x1fff;\n var ah8 = a8 >>> 13;\n var a9 = a[9] | 0;\n var al9 = a9 & 0x1fff;\n var ah9 = a9 >>> 13;\n var b0 = b[0] | 0;\n var bl0 = b0 & 0x1fff;\n var bh0 = b0 >>> 13;\n var b1 = b[1] | 0;\n var bl1 = b1 & 0x1fff;\n var bh1 = b1 >>> 13;\n var b2 = b[2] | 0;\n var bl2 = b2 & 0x1fff;\n var bh2 = b2 >>> 13;\n var b3 = b[3] | 0;\n var bl3 = b3 & 0x1fff;\n var bh3 = b3 >>> 13;\n var b4 = b[4] | 0;\n var bl4 = b4 & 0x1fff;\n var bh4 = b4 >>> 13;\n var b5 = b[5] | 0;\n var bl5 = b5 & 0x1fff;\n var bh5 = b5 >>> 13;\n var b6 = b[6] | 0;\n var bl6 = b6 & 0x1fff;\n var bh6 = b6 >>> 13;\n var b7 = b[7] | 0;\n var bl7 = b7 & 0x1fff;\n var bh7 = b7 >>> 13;\n var b8 = b[8] | 0;\n var bl8 = b8 & 0x1fff;\n var bh8 = b8 >>> 13;\n var b9 = b[9] | 0;\n var bl9 = b9 & 0x1fff;\n var bh9 = b9 >>> 13;\n\n out.negative = self.negative ^ num.negative;\n out.length = 19;\n /* k = 0 */\n lo = Math.imul(al0, bl0);\n mid = Math.imul(al0, bh0);\n mid = (mid + Math.imul(ah0, bl0)) | 0;\n hi = Math.imul(ah0, bh0);\n var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0;\n w0 &= 0x3ffffff;\n /* k = 1 */\n lo = Math.imul(al1, bl0);\n mid = Math.imul(al1, bh0);\n mid = (mid + Math.imul(ah1, bl0)) | 0;\n hi = Math.imul(ah1, bh0);\n lo = (lo + Math.imul(al0, bl1)) | 0;\n mid = (mid + Math.imul(al0, bh1)) | 0;\n mid = (mid + Math.imul(ah0, bl1)) | 0;\n hi = (hi + Math.imul(ah0, bh1)) | 0;\n var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0;\n w1 &= 0x3ffffff;\n /* k = 2 */\n lo = Math.imul(al2, bl0);\n mid = Math.imul(al2, bh0);\n mid = (mid + Math.imul(ah2, bl0)) | 0;\n hi = Math.imul(ah2, bh0);\n lo = (lo + Math.imul(al1, bl1)) | 0;\n mid = (mid + Math.imul(al1, bh1)) | 0;\n mid = (mid + Math.imul(ah1, bl1)) | 0;\n hi = (hi + Math.imul(ah1, bh1)) | 0;\n lo = (lo + Math.imul(al0, bl2)) | 0;\n mid = (mid + Math.imul(al0, bh2)) | 0;\n mid = (mid + Math.imul(ah0, bl2)) | 0;\n hi = (hi + Math.imul(ah0, bh2)) | 0;\n var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0;\n w2 &= 0x3ffffff;\n /* k = 3 */\n lo = Math.imul(al3, bl0);\n mid = Math.imul(al3, bh0);\n mid = (mid + Math.imul(ah3, bl0)) | 0;\n hi = Math.imul(ah3, bh0);\n lo = (lo + Math.imul(al2, bl1)) | 0;\n mid = (mid + Math.imul(al2, bh1)) | 0;\n mid = (mid + Math.imul(ah2, bl1)) | 0;\n hi = (hi + Math.imul(ah2, bh1)) | 0;\n lo = (lo + Math.imul(al1, bl2)) | 0;\n mid = (mid + Math.imul(al1, bh2)) | 0;\n mid = (mid + Math.imul(ah1, bl2)) | 0;\n hi = (hi + Math.imul(ah1, bh2)) | 0;\n lo = (lo + Math.imul(al0, bl3)) | 0;\n mid = (mid + Math.imul(al0, bh3)) | 0;\n mid = (mid + Math.imul(ah0, bl3)) | 0;\n hi = (hi + Math.imul(ah0, bh3)) | 0;\n var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0;\n w3 &= 0x3ffffff;\n /* k = 4 */\n lo = Math.imul(al4, bl0);\n mid = Math.imul(al4, bh0);\n mid = (mid + Math.imul(ah4, bl0)) | 0;\n hi = Math.imul(ah4, bh0);\n lo = (lo + Math.imul(al3, bl1)) | 0;\n mid = (mid + Math.imul(al3, bh1)) | 0;\n mid = (mid + Math.imul(ah3, bl1)) | 0;\n hi = (hi + Math.imul(ah3, bh1)) | 0;\n lo = (lo + Math.imul(al2, bl2)) | 0;\n mid = (mid + Math.imul(al2, bh2)) | 0;\n mid = (mid + Math.imul(ah2, bl2)) | 0;\n hi = (hi + Math.imul(ah2, bh2)) | 0;\n lo = (lo + Math.imul(al1, bl3)) | 0;\n mid = (mid + Math.imul(al1, bh3)) | 0;\n mid = (mid + Math.imul(ah1, bl3)) | 0;\n hi = (hi + Math.imul(ah1, bh3)) | 0;\n lo = (lo + Math.imul(al0, bl4)) | 0;\n mid = (mid + Math.imul(al0, bh4)) | 0;\n mid = (mid + Math.imul(ah0, bl4)) | 0;\n hi = (hi + Math.imul(ah0, bh4)) | 0;\n var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0;\n w4 &= 0x3ffffff;\n /* k = 5 */\n lo = Math.imul(al5, bl0);\n mid = Math.imul(al5, bh0);\n mid = (mid + Math.imul(ah5, bl0)) | 0;\n hi = Math.imul(ah5, bh0);\n lo = (lo + Math.imul(al4, bl1)) | 0;\n mid = (mid + Math.imul(al4, bh1)) | 0;\n mid = (mid + Math.imul(ah4, bl1)) | 0;\n hi = (hi + Math.imul(ah4, bh1)) | 0;\n lo = (lo + Math.imul(al3, bl2)) | 0;\n mid = (mid + Math.imul(al3, bh2)) | 0;\n mid = (mid + Math.imul(ah3, bl2)) | 0;\n hi = (hi + Math.imul(ah3, bh2)) | 0;\n lo = (lo + Math.imul(al2, bl3)) | 0;\n mid = (mid + Math.imul(al2, bh3)) | 0;\n mid = (mid + Math.imul(ah2, bl3)) | 0;\n hi = (hi + Math.imul(ah2, bh3)) | 0;\n lo = (lo + Math.imul(al1, bl4)) | 0;\n mid = (mid + Math.imul(al1, bh4)) | 0;\n mid = (mid + Math.imul(ah1, bl4)) | 0;\n hi = (hi + Math.imul(ah1, bh4)) | 0;\n lo = (lo + Math.imul(al0, bl5)) | 0;\n mid = (mid + Math.imul(al0, bh5)) | 0;\n mid = (mid + Math.imul(ah0, bl5)) | 0;\n hi = (hi + Math.imul(ah0, bh5)) | 0;\n var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0;\n w5 &= 0x3ffffff;\n /* k = 6 */\n lo = Math.imul(al6, bl0);\n mid = Math.imul(al6, bh0);\n mid = (mid + Math.imul(ah6, bl0)) | 0;\n hi = Math.imul(ah6, bh0);\n lo = (lo + Math.imul(al5, bl1)) | 0;\n mid = (mid + Math.imul(al5, bh1)) | 0;\n mid = (mid + Math.imul(ah5, bl1)) | 0;\n hi = (hi + Math.imul(ah5, bh1)) | 0;\n lo = (lo + Math.imul(al4, bl2)) | 0;\n mid = (mid + Math.imul(al4, bh2)) | 0;\n mid = (mid + Math.imul(ah4, bl2)) | 0;\n hi = (hi + Math.imul(ah4, bh2)) | 0;\n lo = (lo + Math.imul(al3, bl3)) | 0;\n mid = (mid + Math.imul(al3, bh3)) | 0;\n mid = (mid + Math.imul(ah3, bl3)) | 0;\n hi = (hi + Math.imul(ah3, bh3)) | 0;\n lo = (lo + Math.imul(al2, bl4)) | 0;\n mid = (mid + Math.imul(al2, bh4)) | 0;\n mid = (mid + Math.imul(ah2, bl4)) | 0;\n hi = (hi + Math.imul(ah2, bh4)) | 0;\n lo = (lo + Math.imul(al1, bl5)) | 0;\n mid = (mid + Math.imul(al1, bh5)) | 0;\n mid = (mid + Math.imul(ah1, bl5)) | 0;\n hi = (hi + Math.imul(ah1, bh5)) | 0;\n lo = (lo + Math.imul(al0, bl6)) | 0;\n mid = (mid + Math.imul(al0, bh6)) | 0;\n mid = (mid + Math.imul(ah0, bl6)) | 0;\n hi = (hi + Math.imul(ah0, bh6)) | 0;\n var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0;\n w6 &= 0x3ffffff;\n /* k = 7 */\n lo = Math.imul(al7, bl0);\n mid = Math.imul(al7, bh0);\n mid = (mid + Math.imul(ah7, bl0)) | 0;\n hi = Math.imul(ah7, bh0);\n lo = (lo + Math.imul(al6, bl1)) | 0;\n mid = (mid + Math.imul(al6, bh1)) | 0;\n mid = (mid + Math.imul(ah6, bl1)) | 0;\n hi = (hi + Math.imul(ah6, bh1)) | 0;\n lo = (lo + Math.imul(al5, bl2)) | 0;\n mid = (mid + Math.imul(al5, bh2)) | 0;\n mid = (mid + Math.imul(ah5, bl2)) | 0;\n hi = (hi + Math.imul(ah5, bh2)) | 0;\n lo = (lo + Math.imul(al4, bl3)) | 0;\n mid = (mid + Math.imul(al4, bh3)) | 0;\n mid = (mid + Math.imul(ah4, bl3)) | 0;\n hi = (hi + Math.imul(ah4, bh3)) | 0;\n lo = (lo + Math.imul(al3, bl4)) | 0;\n mid = (mid + Math.imul(al3, bh4)) | 0;\n mid = (mid + Math.imul(ah3, bl4)) | 0;\n hi = (hi + Math.imul(ah3, bh4)) | 0;\n lo = (lo + Math.imul(al2, bl5)) | 0;\n mid = (mid + Math.imul(al2, bh5)) | 0;\n mid = (mid + Math.imul(ah2, bl5)) | 0;\n hi = (hi + Math.imul(ah2, bh5)) | 0;\n lo = (lo + Math.imul(al1, bl6)) | 0;\n mid = (mid + Math.imul(al1, bh6)) | 0;\n mid = (mid + Math.imul(ah1, bl6)) | 0;\n hi = (hi + Math.imul(ah1, bh6)) | 0;\n lo = (lo + Math.imul(al0, bl7)) | 0;\n mid = (mid + Math.imul(al0, bh7)) | 0;\n mid = (mid + Math.imul(ah0, bl7)) | 0;\n hi = (hi + Math.imul(ah0, bh7)) | 0;\n var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0;\n w7 &= 0x3ffffff;\n /* k = 8 */\n lo = Math.imul(al8, bl0);\n mid = Math.imul(al8, bh0);\n mid = (mid + Math.imul(ah8, bl0)) | 0;\n hi = Math.imul(ah8, bh0);\n lo = (lo + Math.imul(al7, bl1)) | 0;\n mid = (mid + Math.imul(al7, bh1)) | 0;\n mid = (mid + Math.imul(ah7, bl1)) | 0;\n hi = (hi + Math.imul(ah7, bh1)) | 0;\n lo = (lo + Math.imul(al6, bl2)) | 0;\n mid = (mid + Math.imul(al6, bh2)) | 0;\n mid = (mid + Math.imul(ah6, bl2)) | 0;\n hi = (hi + Math.imul(ah6, bh2)) | 0;\n lo = (lo + Math.imul(al5, bl3)) | 0;\n mid = (mid + Math.imul(al5, bh3)) | 0;\n mid = (mid + Math.imul(ah5, bl3)) | 0;\n hi = (hi + Math.imul(ah5, bh3)) | 0;\n lo = (lo + Math.imul(al4, bl4)) | 0;\n mid = (mid + Math.imul(al4, bh4)) | 0;\n mid = (mid + Math.imul(ah4, bl4)) | 0;\n hi = (hi + Math.imul(ah4, bh4)) | 0;\n lo = (lo + Math.imul(al3, bl5)) | 0;\n mid = (mid + Math.imul(al3, bh5)) | 0;\n mid = (mid + Math.imul(ah3, bl5)) | 0;\n hi = (hi + Math.imul(ah3, bh5)) | 0;\n lo = (lo + Math.imul(al2, bl6)) | 0;\n mid = (mid + Math.imul(al2, bh6)) | 0;\n mid = (mid + Math.imul(ah2, bl6)) | 0;\n hi = (hi + Math.imul(ah2, bh6)) | 0;\n lo = (lo + Math.imul(al1, bl7)) | 0;\n mid = (mid + Math.imul(al1, bh7)) | 0;\n mid = (mid + Math.imul(ah1, bl7)) | 0;\n hi = (hi + Math.imul(ah1, bh7)) | 0;\n lo = (lo + Math.imul(al0, bl8)) | 0;\n mid = (mid + Math.imul(al0, bh8)) | 0;\n mid = (mid + Math.imul(ah0, bl8)) | 0;\n hi = (hi + Math.imul(ah0, bh8)) | 0;\n var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0;\n w8 &= 0x3ffffff;\n /* k = 9 */\n lo = Math.imul(al9, bl0);\n mid = Math.imul(al9, bh0);\n mid = (mid + Math.imul(ah9, bl0)) | 0;\n hi = Math.imul(ah9, bh0);\n lo = (lo + Math.imul(al8, bl1)) | 0;\n mid = (mid + Math.imul(al8, bh1)) | 0;\n mid = (mid + Math.imul(ah8, bl1)) | 0;\n hi = (hi + Math.imul(ah8, bh1)) | 0;\n lo = (lo + Math.imul(al7, bl2)) | 0;\n mid = (mid + Math.imul(al7, bh2)) | 0;\n mid = (mid + Math.imul(ah7, bl2)) | 0;\n hi = (hi + Math.imul(ah7, bh2)) | 0;\n lo = (lo + Math.imul(al6, bl3)) | 0;\n mid = (mid + Math.imul(al6, bh3)) | 0;\n mid = (mid + Math.imul(ah6, bl3)) | 0;\n hi = (hi + Math.imul(ah6, bh3)) | 0;\n lo = (lo + Math.imul(al5, bl4)) | 0;\n mid = (mid + Math.imul(al5, bh4)) | 0;\n mid = (mid + Math.imul(ah5, bl4)) | 0;\n hi = (hi + Math.imul(ah5, bh4)) | 0;\n lo = (lo + Math.imul(al4, bl5)) | 0;\n mid = (mid + Math.imul(al4, bh5)) | 0;\n mid = (mid + Math.imul(ah4, bl5)) | 0;\n hi = (hi + Math.imul(ah4, bh5)) | 0;\n lo = (lo + Math.imul(al3, bl6)) | 0;\n mid = (mid + Math.imul(al3, bh6)) | 0;\n mid = (mid + Math.imul(ah3, bl6)) | 0;\n hi = (hi + Math.imul(ah3, bh6)) | 0;\n lo = (lo + Math.imul(al2, bl7)) | 0;\n mid = (mid + Math.imul(al2, bh7)) | 0;\n mid = (mid + Math.imul(ah2, bl7)) | 0;\n hi = (hi + Math.imul(ah2, bh7)) | 0;\n lo = (lo + Math.imul(al1, bl8)) | 0;\n mid = (mid + Math.imul(al1, bh8)) | 0;\n mid = (mid + Math.imul(ah1, bl8)) | 0;\n hi = (hi + Math.imul(ah1, bh8)) | 0;\n lo = (lo + Math.imul(al0, bl9)) | 0;\n mid = (mid + Math.imul(al0, bh9)) | 0;\n mid = (mid + Math.imul(ah0, bl9)) | 0;\n hi = (hi + Math.imul(ah0, bh9)) | 0;\n var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0;\n w9 &= 0x3ffffff;\n /* k = 10 */\n lo = Math.imul(al9, bl1);\n mid = Math.imul(al9, bh1);\n mid = (mid + Math.imul(ah9, bl1)) | 0;\n hi = Math.imul(ah9, bh1);\n lo = (lo + Math.imul(al8, bl2)) | 0;\n mid = (mid + Math.imul(al8, bh2)) | 0;\n mid = (mid + Math.imul(ah8, bl2)) | 0;\n hi = (hi + Math.imul(ah8, bh2)) | 0;\n lo = (lo + Math.imul(al7, bl3)) | 0;\n mid = (mid + Math.imul(al7, bh3)) | 0;\n mid = (mid + Math.imul(ah7, bl3)) | 0;\n hi = (hi + Math.imul(ah7, bh3)) | 0;\n lo = (lo + Math.imul(al6, bl4)) | 0;\n mid = (mid + Math.imul(al6, bh4)) | 0;\n mid = (mid + Math.imul(ah6, bl4)) | 0;\n hi = (hi + Math.imul(ah6, bh4)) | 0;\n lo = (lo + Math.imul(al5, bl5)) | 0;\n mid = (mid + Math.imul(al5, bh5)) | 0;\n mid = (mid + Math.imul(ah5, bl5)) | 0;\n hi = (hi + Math.imul(ah5, bh5)) | 0;\n lo = (lo + Math.imul(al4, bl6)) | 0;\n mid = (mid + Math.imul(al4, bh6)) | 0;\n mid = (mid + Math.imul(ah4, bl6)) | 0;\n hi = (hi + Math.imul(ah4, bh6)) | 0;\n lo = (lo + Math.imul(al3, bl7)) | 0;\n mid = (mid + Math.imul(al3, bh7)) | 0;\n mid = (mid + Math.imul(ah3, bl7)) | 0;\n hi = (hi + Math.imul(ah3, bh7)) | 0;\n lo = (lo + Math.imul(al2, bl8)) | 0;\n mid = (mid + Math.imul(al2, bh8)) | 0;\n mid = (mid + Math.imul(ah2, bl8)) | 0;\n hi = (hi + Math.imul(ah2, bh8)) | 0;\n lo = (lo + Math.imul(al1, bl9)) | 0;\n mid = (mid + Math.imul(al1, bh9)) | 0;\n mid = (mid + Math.imul(ah1, bl9)) | 0;\n hi = (hi + Math.imul(ah1, bh9)) | 0;\n var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0;\n w10 &= 0x3ffffff;\n /* k = 11 */\n lo = Math.imul(al9, bl2);\n mid = Math.imul(al9, bh2);\n mid = (mid + Math.imul(ah9, bl2)) | 0;\n hi = Math.imul(ah9, bh2);\n lo = (lo + Math.imul(al8, bl3)) | 0;\n mid = (mid + Math.imul(al8, bh3)) | 0;\n mid = (mid + Math.imul(ah8, bl3)) | 0;\n hi = (hi + Math.imul(ah8, bh3)) | 0;\n lo = (lo + Math.imul(al7, bl4)) | 0;\n mid = (mid + Math.imul(al7, bh4)) | 0;\n mid = (mid + Math.imul(ah7, bl4)) | 0;\n hi = (hi + Math.imul(ah7, bh4)) | 0;\n lo = (lo + Math.imul(al6, bl5)) | 0;\n mid = (mid + Math.imul(al6, bh5)) | 0;\n mid = (mid + Math.imul(ah6, bl5)) | 0;\n hi = (hi + Math.imul(ah6, bh5)) | 0;\n lo = (lo + Math.imul(al5, bl6)) | 0;\n mid = (mid + Math.imul(al5, bh6)) | 0;\n mid = (mid + Math.imul(ah5, bl6)) | 0;\n hi = (hi + Math.imul(ah5, bh6)) | 0;\n lo = (lo + Math.imul(al4, bl7)) | 0;\n mid = (mid + Math.imul(al4, bh7)) | 0;\n mid = (mid + Math.imul(ah4, bl7)) | 0;\n hi = (hi + Math.imul(ah4, bh7)) | 0;\n lo = (lo + Math.imul(al3, bl8)) | 0;\n mid = (mid + Math.imul(al3, bh8)) | 0;\n mid = (mid + Math.imul(ah3, bl8)) | 0;\n hi = (hi + Math.imul(ah3, bh8)) | 0;\n lo = (lo + Math.imul(al2, bl9)) | 0;\n mid = (mid + Math.imul(al2, bh9)) | 0;\n mid = (mid + Math.imul(ah2, bl9)) | 0;\n hi = (hi + Math.imul(ah2, bh9)) | 0;\n var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0;\n w11 &= 0x3ffffff;\n /* k = 12 */\n lo = Math.imul(al9, bl3);\n mid = Math.imul(al9, bh3);\n mid = (mid + Math.imul(ah9, bl3)) | 0;\n hi = Math.imul(ah9, bh3);\n lo = (lo + Math.imul(al8, bl4)) | 0;\n mid = (mid + Math.imul(al8, bh4)) | 0;\n mid = (mid + Math.imul(ah8, bl4)) | 0;\n hi = (hi + Math.imul(ah8, bh4)) | 0;\n lo = (lo + Math.imul(al7, bl5)) | 0;\n mid = (mid + Math.imul(al7, bh5)) | 0;\n mid = (mid + Math.imul(ah7, bl5)) | 0;\n hi = (hi + Math.imul(ah7, bh5)) | 0;\n lo = (lo + Math.imul(al6, bl6)) | 0;\n mid = (mid + Math.imul(al6, bh6)) | 0;\n mid = (mid + Math.imul(ah6, bl6)) | 0;\n hi = (hi + Math.imul(ah6, bh6)) | 0;\n lo = (lo + Math.imul(al5, bl7)) | 0;\n mid = (mid + Math.imul(al5, bh7)) | 0;\n mid = (mid + Math.imul(ah5, bl7)) | 0;\n hi = (hi + Math.imul(ah5, bh7)) | 0;\n lo = (lo + Math.imul(al4, bl8)) | 0;\n mid = (mid + Math.imul(al4, bh8)) | 0;\n mid = (mid + Math.imul(ah4, bl8)) | 0;\n hi = (hi + Math.imul(ah4, bh8)) | 0;\n lo = (lo + Math.imul(al3, bl9)) | 0;\n mid = (mid + Math.imul(al3, bh9)) | 0;\n mid = (mid + Math.imul(ah3, bl9)) | 0;\n hi = (hi + Math.imul(ah3, bh9)) | 0;\n var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0;\n w12 &= 0x3ffffff;\n /* k = 13 */\n lo = Math.imul(al9, bl4);\n mid = Math.imul(al9, bh4);\n mid = (mid + Math.imul(ah9, bl4)) | 0;\n hi = Math.imul(ah9, bh4);\n lo = (lo + Math.imul(al8, bl5)) | 0;\n mid = (mid + Math.imul(al8, bh5)) | 0;\n mid = (mid + Math.imul(ah8, bl5)) | 0;\n hi = (hi + Math.imul(ah8, bh5)) | 0;\n lo = (lo + Math.imul(al7, bl6)) | 0;\n mid = (mid + Math.imul(al7, bh6)) | 0;\n mid = (mid + Math.imul(ah7, bl6)) | 0;\n hi = (hi + Math.imul(ah7, bh6)) | 0;\n lo = (lo + Math.imul(al6, bl7)) | 0;\n mid = (mid + Math.imul(al6, bh7)) | 0;\n mid = (mid + Math.imul(ah6, bl7)) | 0;\n hi = (hi + Math.imul(ah6, bh7)) | 0;\n lo = (lo + Math.imul(al5, bl8)) | 0;\n mid = (mid + Math.imul(al5, bh8)) | 0;\n mid = (mid + Math.imul(ah5, bl8)) | 0;\n hi = (hi + Math.imul(ah5, bh8)) | 0;\n lo = (lo + Math.imul(al4, bl9)) | 0;\n mid = (mid + Math.imul(al4, bh9)) | 0;\n mid = (mid + Math.imul(ah4, bl9)) | 0;\n hi = (hi + Math.imul(ah4, bh9)) | 0;\n var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0;\n w13 &= 0x3ffffff;\n /* k = 14 */\n lo = Math.imul(al9, bl5);\n mid = Math.imul(al9, bh5);\n mid = (mid + Math.imul(ah9, bl5)) | 0;\n hi = Math.imul(ah9, bh5);\n lo = (lo + Math.imul(al8, bl6)) | 0;\n mid = (mid + Math.imul(al8, bh6)) | 0;\n mid = (mid + Math.imul(ah8, bl6)) | 0;\n hi = (hi + Math.imul(ah8, bh6)) | 0;\n lo = (lo + Math.imul(al7, bl7)) | 0;\n mid = (mid + Math.imul(al7, bh7)) | 0;\n mid = (mid + Math.imul(ah7, bl7)) | 0;\n hi = (hi + Math.imul(ah7, bh7)) | 0;\n lo = (lo + Math.imul(al6, bl8)) | 0;\n mid = (mid + Math.imul(al6, bh8)) | 0;\n mid = (mid + Math.imul(ah6, bl8)) | 0;\n hi = (hi + Math.imul(ah6, bh8)) | 0;\n lo = (lo + Math.imul(al5, bl9)) | 0;\n mid = (mid + Math.imul(al5, bh9)) | 0;\n mid = (mid + Math.imul(ah5, bl9)) | 0;\n hi = (hi + Math.imul(ah5, bh9)) | 0;\n var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0;\n w14 &= 0x3ffffff;\n /* k = 15 */\n lo = Math.imul(al9, bl6);\n mid = Math.imul(al9, bh6);\n mid = (mid + Math.imul(ah9, bl6)) | 0;\n hi = Math.imul(ah9, bh6);\n lo = (lo + Math.imul(al8, bl7)) | 0;\n mid = (mid + Math.imul(al8, bh7)) | 0;\n mid = (mid + Math.imul(ah8, bl7)) | 0;\n hi = (hi + Math.imul(ah8, bh7)) | 0;\n lo = (lo + Math.imul(al7, bl8)) | 0;\n mid = (mid + Math.imul(al7, bh8)) | 0;\n mid = (mid + Math.imul(ah7, bl8)) | 0;\n hi = (hi + Math.imul(ah7, bh8)) | 0;\n lo = (lo + Math.imul(al6, bl9)) | 0;\n mid = (mid + Math.imul(al6, bh9)) | 0;\n mid = (mid + Math.imul(ah6, bl9)) | 0;\n hi = (hi + Math.imul(ah6, bh9)) | 0;\n var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0;\n w15 &= 0x3ffffff;\n /* k = 16 */\n lo = Math.imul(al9, bl7);\n mid = Math.imul(al9, bh7);\n mid = (mid + Math.imul(ah9, bl7)) | 0;\n hi = Math.imul(ah9, bh7);\n lo = (lo + Math.imul(al8, bl8)) | 0;\n mid = (mid + Math.imul(al8, bh8)) | 0;\n mid = (mid + Math.imul(ah8, bl8)) | 0;\n hi = (hi + Math.imul(ah8, bh8)) | 0;\n lo = (lo + Math.imul(al7, bl9)) | 0;\n mid = (mid + Math.imul(al7, bh9)) | 0;\n mid = (mid + Math.imul(ah7, bl9)) | 0;\n hi = (hi + Math.imul(ah7, bh9)) | 0;\n var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0;\n w16 &= 0x3ffffff;\n /* k = 17 */\n lo = Math.imul(al9, bl8);\n mid = Math.imul(al9, bh8);\n mid = (mid + Math.imul(ah9, bl8)) | 0;\n hi = Math.imul(ah9, bh8);\n lo = (lo + Math.imul(al8, bl9)) | 0;\n mid = (mid + Math.imul(al8, bh9)) | 0;\n mid = (mid + Math.imul(ah8, bl9)) | 0;\n hi = (hi + Math.imul(ah8, bh9)) | 0;\n var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0;\n w17 &= 0x3ffffff;\n /* k = 18 */\n lo = Math.imul(al9, bl9);\n mid = Math.imul(al9, bh9);\n mid = (mid + Math.imul(ah9, bl9)) | 0;\n hi = Math.imul(ah9, bh9);\n var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0;\n w18 &= 0x3ffffff;\n o[0] = w0;\n o[1] = w1;\n o[2] = w2;\n o[3] = w3;\n o[4] = w4;\n o[5] = w5;\n o[6] = w6;\n o[7] = w7;\n o[8] = w8;\n o[9] = w9;\n o[10] = w10;\n o[11] = w11;\n o[12] = w12;\n o[13] = w13;\n o[14] = w14;\n o[15] = w15;\n o[16] = w16;\n o[17] = w17;\n o[18] = w18;\n if (c !== 0) {\n o[19] = c;\n out.length++;\n }\n return out;\n };\n\n // Polyfill comb\n if (!Math.imul) {\n comb10MulTo = smallMulTo;\n }\n\n function bigMulTo (self, num, out) {\n out.negative = num.negative ^ self.negative;\n out.length = self.length + num.length;\n\n var carry = 0;\n var hncarry = 0;\n for (var k = 0; k < out.length - 1; k++) {\n // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n // note that ncarry could be >= 0x3ffffff\n var ncarry = hncarry;\n hncarry = 0;\n var rword = carry & 0x3ffffff;\n var maxJ = Math.min(k, num.length - 1);\n for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n var i = k - j;\n var a = self.words[i] | 0;\n var b = num.words[j] | 0;\n var r = a * b;\n\n var lo = r & 0x3ffffff;\n ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;\n lo = (lo + rword) | 0;\n rword = lo & 0x3ffffff;\n ncarry = (ncarry + (lo >>> 26)) | 0;\n\n hncarry += ncarry >>> 26;\n ncarry &= 0x3ffffff;\n }\n out.words[k] = rword;\n carry = ncarry;\n ncarry = hncarry;\n }\n if (carry !== 0) {\n out.words[k] = carry;\n } else {\n out.length--;\n }\n\n return out._strip();\n }\n\n function jumboMulTo (self, num, out) {\n // Temporary disable, see https://github.com/indutny/bn.js/issues/211\n // var fftm = new FFTM();\n // return fftm.mulp(self, num, out);\n return bigMulTo(self, num, out);\n }\n\n BN.prototype.mulTo = function mulTo (num, out) {\n var res;\n var len = this.length + num.length;\n if (this.length === 10 && num.length === 10) {\n res = comb10MulTo(this, num, out);\n } else if (len < 63) {\n res = smallMulTo(this, num, out);\n } else if (len < 1024) {\n res = bigMulTo(this, num, out);\n } else {\n res = jumboMulTo(this, num, out);\n }\n\n return res;\n };\n\n // Cooley-Tukey algorithm for FFT\n // slightly revisited to rely on looping instead of recursion\n\n function FFTM (x, y) {\n this.x = x;\n this.y = y;\n }\n\n FFTM.prototype.makeRBT = function makeRBT (N) {\n var t = new Array(N);\n var l = BN.prototype._countBits(N) - 1;\n for (var i = 0; i < N; i++) {\n t[i] = this.revBin(i, l, N);\n }\n\n return t;\n };\n\n // Returns binary-reversed representation of `x`\n FFTM.prototype.revBin = function revBin (x, l, N) {\n if (x === 0 || x === N - 1) return x;\n\n var rb = 0;\n for (var i = 0; i < l; i++) {\n rb |= (x & 1) << (l - i - 1);\n x >>= 1;\n }\n\n return rb;\n };\n\n // Performs \"tweedling\" phase, therefore 'emulating'\n // behaviour of the recursive algorithm\n FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) {\n for (var i = 0; i < N; i++) {\n rtws[i] = rws[rbt[i]];\n itws[i] = iws[rbt[i]];\n }\n };\n\n FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) {\n this.permute(rbt, rws, iws, rtws, itws, N);\n\n for (var s = 1; s < N; s <<= 1) {\n var l = s << 1;\n\n var rtwdf = Math.cos(2 * Math.PI / l);\n var itwdf = Math.sin(2 * Math.PI / l);\n\n for (var p = 0; p < N; p += l) {\n var rtwdf_ = rtwdf;\n var itwdf_ = itwdf;\n\n for (var j = 0; j < s; j++) {\n var re = rtws[p + j];\n var ie = itws[p + j];\n\n var ro = rtws[p + j + s];\n var io = itws[p + j + s];\n\n var rx = rtwdf_ * ro - itwdf_ * io;\n\n io = rtwdf_ * io + itwdf_ * ro;\n ro = rx;\n\n rtws[p + j] = re + ro;\n itws[p + j] = ie + io;\n\n rtws[p + j + s] = re - ro;\n itws[p + j + s] = ie - io;\n\n /* jshint maxdepth : false */\n if (j !== l) {\n rx = rtwdf * rtwdf_ - itwdf * itwdf_;\n\n itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_;\n rtwdf_ = rx;\n }\n }\n }\n }\n };\n\n FFTM.prototype.guessLen13b = function guessLen13b (n, m) {\n var N = Math.max(m, n) | 1;\n var odd = N & 1;\n var i = 0;\n for (N = N / 2 | 0; N; N = N >>> 1) {\n i++;\n }\n\n return 1 << i + 1 + odd;\n };\n\n FFTM.prototype.conjugate = function conjugate (rws, iws, N) {\n if (N <= 1) return;\n\n for (var i = 0; i < N / 2; i++) {\n var t = rws[i];\n\n rws[i] = rws[N - i - 1];\n rws[N - i - 1] = t;\n\n t = iws[i];\n\n iws[i] = -iws[N - i - 1];\n iws[N - i - 1] = -t;\n }\n };\n\n FFTM.prototype.normalize13b = function normalize13b (ws, N) {\n var carry = 0;\n for (var i = 0; i < N / 2; i++) {\n var w = Math.round(ws[2 * i + 1] / N) * 0x2000 +\n Math.round(ws[2 * i] / N) +\n carry;\n\n ws[i] = w & 0x3ffffff;\n\n if (w < 0x4000000) {\n carry = 0;\n } else {\n carry = w / 0x4000000 | 0;\n }\n }\n\n return ws;\n };\n\n FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) {\n var carry = 0;\n for (var i = 0; i < len; i++) {\n carry = carry + (ws[i] | 0);\n\n rws[2 * i] = carry & 0x1fff; carry = carry >>> 13;\n rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13;\n }\n\n // Pad with zeroes\n for (i = 2 * len; i < N; ++i) {\n rws[i] = 0;\n }\n\n assert(carry === 0);\n assert((carry & ~0x1fff) === 0);\n };\n\n FFTM.prototype.stub = function stub (N) {\n var ph = new Array(N);\n for (var i = 0; i < N; i++) {\n ph[i] = 0;\n }\n\n return ph;\n };\n\n FFTM.prototype.mulp = function mulp (x, y, out) {\n var N = 2 * this.guessLen13b(x.length, y.length);\n\n var rbt = this.makeRBT(N);\n\n var _ = this.stub(N);\n\n var rws = new Array(N);\n var rwst = new Array(N);\n var iwst = new Array(N);\n\n var nrws = new Array(N);\n var nrwst = new Array(N);\n var niwst = new Array(N);\n\n var rmws = out.words;\n rmws.length = N;\n\n this.convert13b(x.words, x.length, rws, N);\n this.convert13b(y.words, y.length, nrws, N);\n\n this.transform(rws, _, rwst, iwst, N, rbt);\n this.transform(nrws, _, nrwst, niwst, N, rbt);\n\n for (var i = 0; i < N; i++) {\n var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i];\n iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i];\n rwst[i] = rx;\n }\n\n this.conjugate(rwst, iwst, N);\n this.transform(rwst, iwst, rmws, _, N, rbt);\n this.conjugate(rmws, _, N);\n this.normalize13b(rmws, N);\n\n out.negative = x.negative ^ y.negative;\n out.length = x.length + y.length;\n return out._strip();\n };\n\n // Multiply `this` by `num`\n BN.prototype.mul = function mul (num) {\n var out = new BN(null);\n out.words = new Array(this.length + num.length);\n return this.mulTo(num, out);\n };\n\n // Multiply employing FFT\n BN.prototype.mulf = function mulf (num) {\n var out = new BN(null);\n out.words = new Array(this.length + num.length);\n return jumboMulTo(this, num, out);\n };\n\n // In-place Multiplication\n BN.prototype.imul = function imul (num) {\n return this.clone().mulTo(num, this);\n };\n\n BN.prototype.imuln = function imuln (num) {\n var isNegNum = num < 0;\n if (isNegNum) num = -num;\n\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n\n // Carry\n var carry = 0;\n for (var i = 0; i < this.length; i++) {\n var w = (this.words[i] | 0) * num;\n var lo = (w & 0x3ffffff) + (carry & 0x3ffffff);\n carry >>= 26;\n carry += (w / 0x4000000) | 0;\n // NOTE: lo is 27bit maximum\n carry += lo >>> 26;\n this.words[i] = lo & 0x3ffffff;\n }\n\n if (carry !== 0) {\n this.words[i] = carry;\n this.length++;\n }\n\n return isNegNum ? this.ineg() : this;\n };\n\n BN.prototype.muln = function muln (num) {\n return this.clone().imuln(num);\n };\n\n // `this` * `this`\n BN.prototype.sqr = function sqr () {\n return this.mul(this);\n };\n\n // `this` * `this` in-place\n BN.prototype.isqr = function isqr () {\n return this.imul(this.clone());\n };\n\n // Math.pow(`this`, `num`)\n BN.prototype.pow = function pow (num) {\n var w = toBitArray(num);\n if (w.length === 0) return new BN(1);\n\n // Skip leading zeroes\n var res = this;\n for (var i = 0; i < w.length; i++, res = res.sqr()) {\n if (w[i] !== 0) break;\n }\n\n if (++i < w.length) {\n for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) {\n if (w[i] === 0) continue;\n\n res = res.mul(q);\n }\n }\n\n return res;\n };\n\n // Shift-left in-place\n BN.prototype.iushln = function iushln (bits) {\n assert(typeof bits === 'number' && bits >= 0);\n var r = bits % 26;\n var s = (bits - r) / 26;\n var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r);\n var i;\n\n if (r !== 0) {\n var carry = 0;\n\n for (i = 0; i < this.length; i++) {\n var newCarry = this.words[i] & carryMask;\n var c = ((this.words[i] | 0) - newCarry) << r;\n this.words[i] = c | carry;\n carry = newCarry >>> (26 - r);\n }\n\n if (carry) {\n this.words[i] = carry;\n this.length++;\n }\n }\n\n if (s !== 0) {\n for (i = this.length - 1; i >= 0; i--) {\n this.words[i + s] = this.words[i];\n }\n\n for (i = 0; i < s; i++) {\n this.words[i] = 0;\n }\n\n this.length += s;\n }\n\n return this._strip();\n };\n\n BN.prototype.ishln = function ishln (bits) {\n // TODO(indutny): implement me\n assert(this.negative === 0);\n return this.iushln(bits);\n };\n\n // Shift-right in-place\n // NOTE: `hint` is a lowest bit before trailing zeroes\n // NOTE: if `extended` is present - it will be filled with destroyed bits\n BN.prototype.iushrn = function iushrn (bits, hint, extended) {\n assert(typeof bits === 'number' && bits >= 0);\n var h;\n if (hint) {\n h = (hint - (hint % 26)) / 26;\n } else {\n h = 0;\n }\n\n var r = bits % 26;\n var s = Math.min((bits - r) / 26, this.length);\n var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n var maskedWords = extended;\n\n h -= s;\n h = Math.max(0, h);\n\n // Extended mode, copy masked part\n if (maskedWords) {\n for (var i = 0; i < s; i++) {\n maskedWords.words[i] = this.words[i];\n }\n maskedWords.length = s;\n }\n\n if (s === 0) {\n // No-op, we should not move anything at all\n } else if (this.length > s) {\n this.length -= s;\n for (i = 0; i < this.length; i++) {\n this.words[i] = this.words[i + s];\n }\n } else {\n this.words[0] = 0;\n this.length = 1;\n }\n\n var carry = 0;\n for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) {\n var word = this.words[i] | 0;\n this.words[i] = (carry << (26 - r)) | (word >>> r);\n carry = word & mask;\n }\n\n // Push carried bits as a mask\n if (maskedWords && carry !== 0) {\n maskedWords.words[maskedWords.length++] = carry;\n }\n\n if (this.length === 0) {\n this.words[0] = 0;\n this.length = 1;\n }\n\n return this._strip();\n };\n\n BN.prototype.ishrn = function ishrn (bits, hint, extended) {\n // TODO(indutny): implement me\n assert(this.negative === 0);\n return this.iushrn(bits, hint, extended);\n };\n\n // Shift-left\n BN.prototype.shln = function shln (bits) {\n return this.clone().ishln(bits);\n };\n\n BN.prototype.ushln = function ushln (bits) {\n return this.clone().iushln(bits);\n };\n\n // Shift-right\n BN.prototype.shrn = function shrn (bits) {\n return this.clone().ishrn(bits);\n };\n\n BN.prototype.ushrn = function ushrn (bits) {\n return this.clone().iushrn(bits);\n };\n\n // Test if n bit is set\n BN.prototype.testn = function testn (bit) {\n assert(typeof bit === 'number' && bit >= 0);\n var r = bit % 26;\n var s = (bit - r) / 26;\n var q = 1 << r;\n\n // Fast case: bit is much higher than all existing words\n if (this.length <= s) return false;\n\n // Check bit and return\n var w = this.words[s];\n\n return !!(w & q);\n };\n\n // Return only lowers bits of number (in-place)\n BN.prototype.imaskn = function imaskn (bits) {\n assert(typeof bits === 'number' && bits >= 0);\n var r = bits % 26;\n var s = (bits - r) / 26;\n\n assert(this.negative === 0, 'imaskn works only with positive numbers');\n\n if (this.length <= s) {\n return this;\n }\n\n if (r !== 0) {\n s++;\n }\n this.length = Math.min(s, this.length);\n\n if (r !== 0) {\n var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n this.words[this.length - 1] &= mask;\n }\n\n return this._strip();\n };\n\n // Return only lowers bits of number\n BN.prototype.maskn = function maskn (bits) {\n return this.clone().imaskn(bits);\n };\n\n // Add plain number `num` to `this`\n BN.prototype.iaddn = function iaddn (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n if (num < 0) return this.isubn(-num);\n\n // Possible sign change\n if (this.negative !== 0) {\n if (this.length === 1 && (this.words[0] | 0) <= num) {\n this.words[0] = num - (this.words[0] | 0);\n this.negative = 0;\n return this;\n }\n\n this.negative = 0;\n this.isubn(num);\n this.negative = 1;\n return this;\n }\n\n // Add without checks\n return this._iaddn(num);\n };\n\n BN.prototype._iaddn = function _iaddn (num) {\n this.words[0] += num;\n\n // Carry\n for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) {\n this.words[i] -= 0x4000000;\n if (i === this.length - 1) {\n this.words[i + 1] = 1;\n } else {\n this.words[i + 1]++;\n }\n }\n this.length = Math.max(this.length, i + 1);\n\n return this;\n };\n\n // Subtract plain number `num` from `this`\n BN.prototype.isubn = function isubn (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n if (num < 0) return this.iaddn(-num);\n\n if (this.negative !== 0) {\n this.negative = 0;\n this.iaddn(num);\n this.negative = 1;\n return this;\n }\n\n this.words[0] -= num;\n\n if (this.length === 1 && this.words[0] < 0) {\n this.words[0] = -this.words[0];\n this.negative = 1;\n } else {\n // Carry\n for (var i = 0; i < this.length && this.words[i] < 0; i++) {\n this.words[i] += 0x4000000;\n this.words[i + 1] -= 1;\n }\n }\n\n return this._strip();\n };\n\n BN.prototype.addn = function addn (num) {\n return this.clone().iaddn(num);\n };\n\n BN.prototype.subn = function subn (num) {\n return this.clone().isubn(num);\n };\n\n BN.prototype.iabs = function iabs () {\n this.negative = 0;\n\n return this;\n };\n\n BN.prototype.abs = function abs () {\n return this.clone().iabs();\n };\n\n BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) {\n var len = num.length + shift;\n var i;\n\n this._expand(len);\n\n var w;\n var carry = 0;\n for (i = 0; i < num.length; i++) {\n w = (this.words[i + shift] | 0) + carry;\n var right = (num.words[i] | 0) * mul;\n w -= right & 0x3ffffff;\n carry = (w >> 26) - ((right / 0x4000000) | 0);\n this.words[i + shift] = w & 0x3ffffff;\n }\n for (; i < this.length - shift; i++) {\n w = (this.words[i + shift] | 0) + carry;\n carry = w >> 26;\n this.words[i + shift] = w & 0x3ffffff;\n }\n\n if (carry === 0) return this._strip();\n\n // Subtraction overflow\n assert(carry === -1);\n carry = 0;\n for (i = 0; i < this.length; i++) {\n w = -(this.words[i] | 0) + carry;\n carry = w >> 26;\n this.words[i] = w & 0x3ffffff;\n }\n this.negative = 1;\n\n return this._strip();\n };\n\n BN.prototype._wordDiv = function _wordDiv (num, mode) {\n var shift = this.length - num.length;\n\n var a = this.clone();\n var b = num;\n\n // Normalize\n var bhi = b.words[b.length - 1] | 0;\n var bhiBits = this._countBits(bhi);\n shift = 26 - bhiBits;\n if (shift !== 0) {\n b = b.ushln(shift);\n a.iushln(shift);\n bhi = b.words[b.length - 1] | 0;\n }\n\n // Initialize quotient\n var m = a.length - b.length;\n var q;\n\n if (mode !== 'mod') {\n q = new BN(null);\n q.length = m + 1;\n q.words = new Array(q.length);\n for (var i = 0; i < q.length; i++) {\n q.words[i] = 0;\n }\n }\n\n var diff = a.clone()._ishlnsubmul(b, 1, m);\n if (diff.negative === 0) {\n a = diff;\n if (q) {\n q.words[m] = 1;\n }\n }\n\n for (var j = m - 1; j >= 0; j--) {\n var qj = (a.words[b.length + j] | 0) * 0x4000000 +\n (a.words[b.length + j - 1] | 0);\n\n // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max\n // (0x7ffffff)\n qj = Math.min((qj / bhi) | 0, 0x3ffffff);\n\n a._ishlnsubmul(b, qj, j);\n while (a.negative !== 0) {\n qj--;\n a.negative = 0;\n a._ishlnsubmul(b, 1, j);\n if (!a.isZero()) {\n a.negative ^= 1;\n }\n }\n if (q) {\n q.words[j] = qj;\n }\n }\n if (q) {\n q._strip();\n }\n a._strip();\n\n // Denormalize\n if (mode !== 'div' && shift !== 0) {\n a.iushrn(shift);\n }\n\n return {\n div: q || null,\n mod: a\n };\n };\n\n // NOTE: 1) `mode` can be set to `mod` to request mod only,\n // to `div` to request div only, or be absent to\n // request both div & mod\n // 2) `positive` is true if unsigned mod is requested\n BN.prototype.divmod = function divmod (num, mode, positive) {\n assert(!num.isZero());\n\n if (this.isZero()) {\n return {\n div: new BN(0),\n mod: new BN(0)\n };\n }\n\n var div, mod, res;\n if (this.negative !== 0 && num.negative === 0) {\n res = this.neg().divmod(num, mode);\n\n if (mode !== 'mod') {\n div = res.div.neg();\n }\n\n if (mode !== 'div') {\n mod = res.mod.neg();\n if (positive && mod.negative !== 0) {\n mod.iadd(num);\n }\n }\n\n return {\n div: div,\n mod: mod\n };\n }\n\n if (this.negative === 0 && num.negative !== 0) {\n res = this.divmod(num.neg(), mode);\n\n if (mode !== 'mod') {\n div = res.div.neg();\n }\n\n return {\n div: div,\n mod: res.mod\n };\n }\n\n if ((this.negative & num.negative) !== 0) {\n res = this.neg().divmod(num.neg(), mode);\n\n if (mode !== 'div') {\n mod = res.mod.neg();\n if (positive && mod.negative !== 0) {\n mod.isub(num);\n }\n }\n\n return {\n div: res.div,\n mod: mod\n };\n }\n\n // Both numbers are positive at this point\n\n // Strip both numbers to approximate shift value\n if (num.length > this.length || this.cmp(num) < 0) {\n return {\n div: new BN(0),\n mod: this\n };\n }\n\n // Very short reduction\n if (num.length === 1) {\n if (mode === 'div') {\n return {\n div: this.divn(num.words[0]),\n mod: null\n };\n }\n\n if (mode === 'mod') {\n return {\n div: null,\n mod: new BN(this.modrn(num.words[0]))\n };\n }\n\n return {\n div: this.divn(num.words[0]),\n mod: new BN(this.modrn(num.words[0]))\n };\n }\n\n return this._wordDiv(num, mode);\n };\n\n // Find `this` / `num`\n BN.prototype.div = function div (num) {\n return this.divmod(num, 'div', false).div;\n };\n\n // Find `this` % `num`\n BN.prototype.mod = function mod (num) {\n return this.divmod(num, 'mod', false).mod;\n };\n\n BN.prototype.umod = function umod (num) {\n return this.divmod(num, 'mod', true).mod;\n };\n\n // Find Round(`this` / `num`)\n BN.prototype.divRound = function divRound (num) {\n var dm = this.divmod(num);\n\n // Fast case - exact division\n if (dm.mod.isZero()) return dm.div;\n\n var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod;\n\n var half = num.ushrn(1);\n var r2 = num.andln(1);\n var cmp = mod.cmp(half);\n\n // Round down\n if (cmp < 0 || (r2 === 1 && cmp === 0)) return dm.div;\n\n // Round up\n return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1);\n };\n\n BN.prototype.modrn = function modrn (num) {\n var isNegNum = num < 0;\n if (isNegNum) num = -num;\n\n assert(num <= 0x3ffffff);\n var p = (1 << 26) % num;\n\n var acc = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n acc = (p * acc + (this.words[i] | 0)) % num;\n }\n\n return isNegNum ? -acc : acc;\n };\n\n // WARNING: DEPRECATED\n BN.prototype.modn = function modn (num) {\n return this.modrn(num);\n };\n\n // In-place division by number\n BN.prototype.idivn = function idivn (num) {\n var isNegNum = num < 0;\n if (isNegNum) num = -num;\n\n assert(num <= 0x3ffffff);\n\n var carry = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n var w = (this.words[i] | 0) + carry * 0x4000000;\n this.words[i] = (w / num) | 0;\n carry = w % num;\n }\n\n this._strip();\n return isNegNum ? this.ineg() : this;\n };\n\n BN.prototype.divn = function divn (num) {\n return this.clone().idivn(num);\n };\n\n BN.prototype.egcd = function egcd (p) {\n assert(p.negative === 0);\n assert(!p.isZero());\n\n var x = this;\n var y = p.clone();\n\n if (x.negative !== 0) {\n x = x.umod(p);\n } else {\n x = x.clone();\n }\n\n // A * x + B * y = x\n var A = new BN(1);\n var B = new BN(0);\n\n // C * x + D * y = y\n var C = new BN(0);\n var D = new BN(1);\n\n var g = 0;\n\n while (x.isEven() && y.isEven()) {\n x.iushrn(1);\n y.iushrn(1);\n ++g;\n }\n\n var yp = y.clone();\n var xp = x.clone();\n\n while (!x.isZero()) {\n for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n if (i > 0) {\n x.iushrn(i);\n while (i-- > 0) {\n if (A.isOdd() || B.isOdd()) {\n A.iadd(yp);\n B.isub(xp);\n }\n\n A.iushrn(1);\n B.iushrn(1);\n }\n }\n\n for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n if (j > 0) {\n y.iushrn(j);\n while (j-- > 0) {\n if (C.isOdd() || D.isOdd()) {\n C.iadd(yp);\n D.isub(xp);\n }\n\n C.iushrn(1);\n D.iushrn(1);\n }\n }\n\n if (x.cmp(y) >= 0) {\n x.isub(y);\n A.isub(C);\n B.isub(D);\n } else {\n y.isub(x);\n C.isub(A);\n D.isub(B);\n }\n }\n\n return {\n a: C,\n b: D,\n gcd: y.iushln(g)\n };\n };\n\n // This is reduced incarnation of the binary EEA\n // above, designated to invert members of the\n // _prime_ fields F(p) at a maximal speed\n BN.prototype._invmp = function _invmp (p) {\n assert(p.negative === 0);\n assert(!p.isZero());\n\n var a = this;\n var b = p.clone();\n\n if (a.negative !== 0) {\n a = a.umod(p);\n } else {\n a = a.clone();\n }\n\n var x1 = new BN(1);\n var x2 = new BN(0);\n\n var delta = b.clone();\n\n while (a.cmpn(1) > 0 && b.cmpn(1) > 0) {\n for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n if (i > 0) {\n a.iushrn(i);\n while (i-- > 0) {\n if (x1.isOdd()) {\n x1.iadd(delta);\n }\n\n x1.iushrn(1);\n }\n }\n\n for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n if (j > 0) {\n b.iushrn(j);\n while (j-- > 0) {\n if (x2.isOdd()) {\n x2.iadd(delta);\n }\n\n x2.iushrn(1);\n }\n }\n\n if (a.cmp(b) >= 0) {\n a.isub(b);\n x1.isub(x2);\n } else {\n b.isub(a);\n x2.isub(x1);\n }\n }\n\n var res;\n if (a.cmpn(1) === 0) {\n res = x1;\n } else {\n res = x2;\n }\n\n if (res.cmpn(0) < 0) {\n res.iadd(p);\n }\n\n return res;\n };\n\n BN.prototype.gcd = function gcd (num) {\n if (this.isZero()) return num.abs();\n if (num.isZero()) return this.abs();\n\n var a = this.clone();\n var b = num.clone();\n a.negative = 0;\n b.negative = 0;\n\n // Remove common factor of two\n for (var shift = 0; a.isEven() && b.isEven(); shift++) {\n a.iushrn(1);\n b.iushrn(1);\n }\n\n do {\n while (a.isEven()) {\n a.iushrn(1);\n }\n while (b.isEven()) {\n b.iushrn(1);\n }\n\n var r = a.cmp(b);\n if (r < 0) {\n // Swap `a` and `b` to make `a` always bigger than `b`\n var t = a;\n a = b;\n b = t;\n } else if (r === 0 || b.cmpn(1) === 0) {\n break;\n }\n\n a.isub(b);\n } while (true);\n\n return b.iushln(shift);\n };\n\n // Invert number in the field F(num)\n BN.prototype.invm = function invm (num) {\n return this.egcd(num).a.umod(num);\n };\n\n BN.prototype.isEven = function isEven () {\n return (this.words[0] & 1) === 0;\n };\n\n BN.prototype.isOdd = function isOdd () {\n return (this.words[0] & 1) === 1;\n };\n\n // And first word and num\n BN.prototype.andln = function andln (num) {\n return this.words[0] & num;\n };\n\n // Increment at the bit position in-line\n BN.prototype.bincn = function bincn (bit) {\n assert(typeof bit === 'number');\n var r = bit % 26;\n var s = (bit - r) / 26;\n var q = 1 << r;\n\n // Fast case: bit is much higher than all existing words\n if (this.length <= s) {\n this._expand(s + 1);\n this.words[s] |= q;\n return this;\n }\n\n // Add bit and propagate, if needed\n var carry = q;\n for (var i = s; carry !== 0 && i < this.length; i++) {\n var w = this.words[i] | 0;\n w += carry;\n carry = w >>> 26;\n w &= 0x3ffffff;\n this.words[i] = w;\n }\n if (carry !== 0) {\n this.words[i] = carry;\n this.length++;\n }\n return this;\n };\n\n BN.prototype.isZero = function isZero () {\n return this.length === 1 && this.words[0] === 0;\n };\n\n BN.prototype.cmpn = function cmpn (num) {\n var negative = num < 0;\n\n if (this.negative !== 0 && !negative) return -1;\n if (this.negative === 0 && negative) return 1;\n\n this._strip();\n\n var res;\n if (this.length > 1) {\n res = 1;\n } else {\n if (negative) {\n num = -num;\n }\n\n assert(num <= 0x3ffffff, 'Number is too big');\n\n var w = this.words[0] | 0;\n res = w === num ? 0 : w < num ? -1 : 1;\n }\n if (this.negative !== 0) return -res | 0;\n return res;\n };\n\n // Compare two numbers and return:\n // 1 - if `this` > `num`\n // 0 - if `this` == `num`\n // -1 - if `this` < `num`\n BN.prototype.cmp = function cmp (num) {\n if (this.negative !== 0 && num.negative === 0) return -1;\n if (this.negative === 0 && num.negative !== 0) return 1;\n\n var res = this.ucmp(num);\n if (this.negative !== 0) return -res | 0;\n return res;\n };\n\n // Unsigned comparison\n BN.prototype.ucmp = function ucmp (num) {\n // At this point both numbers have the same sign\n if (this.length > num.length) return 1;\n if (this.length < num.length) return -1;\n\n var res = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n var a = this.words[i] | 0;\n var b = num.words[i] | 0;\n\n if (a === b) continue;\n if (a < b) {\n res = -1;\n } else if (a > b) {\n res = 1;\n }\n break;\n }\n return res;\n };\n\n BN.prototype.gtn = function gtn (num) {\n return this.cmpn(num) === 1;\n };\n\n BN.prototype.gt = function gt (num) {\n return this.cmp(num) === 1;\n };\n\n BN.prototype.gten = function gten (num) {\n return this.cmpn(num) >= 0;\n };\n\n BN.prototype.gte = function gte (num) {\n return this.cmp(num) >= 0;\n };\n\n BN.prototype.ltn = function ltn (num) {\n return this.cmpn(num) === -1;\n };\n\n BN.prototype.lt = function lt (num) {\n return this.cmp(num) === -1;\n };\n\n BN.prototype.lten = function lten (num) {\n return this.cmpn(num) <= 0;\n };\n\n BN.prototype.lte = function lte (num) {\n return this.cmp(num) <= 0;\n };\n\n BN.prototype.eqn = function eqn (num) {\n return this.cmpn(num) === 0;\n };\n\n BN.prototype.eq = function eq (num) {\n return this.cmp(num) === 0;\n };\n\n //\n // A reduce context, could be using montgomery or something better, depending\n // on the `m` itself.\n //\n BN.red = function red (num) {\n return new Red(num);\n };\n\n BN.prototype.toRed = function toRed (ctx) {\n assert(!this.red, 'Already a number in reduction context');\n assert(this.negative === 0, 'red works only with positives');\n return ctx.convertTo(this)._forceRed(ctx);\n };\n\n BN.prototype.fromRed = function fromRed () {\n assert(this.red, 'fromRed works only with numbers in reduction context');\n return this.red.convertFrom(this);\n };\n\n BN.prototype._forceRed = function _forceRed (ctx) {\n this.red = ctx;\n return this;\n };\n\n BN.prototype.forceRed = function forceRed (ctx) {\n assert(!this.red, 'Already a number in reduction context');\n return this._forceRed(ctx);\n };\n\n BN.prototype.redAdd = function redAdd (num) {\n assert(this.red, 'redAdd works only with red numbers');\n return this.red.add(this, num);\n };\n\n BN.prototype.redIAdd = function redIAdd (num) {\n assert(this.red, 'redIAdd works only with red numbers');\n return this.red.iadd(this, num);\n };\n\n BN.prototype.redSub = function redSub (num) {\n assert(this.red, 'redSub works only with red numbers');\n return this.red.sub(this, num);\n };\n\n BN.prototype.redISub = function redISub (num) {\n assert(this.red, 'redISub works only with red numbers');\n return this.red.isub(this, num);\n };\n\n BN.prototype.redShl = function redShl (num) {\n assert(this.red, 'redShl works only with red numbers');\n return this.red.shl(this, num);\n };\n\n BN.prototype.redMul = function redMul (num) {\n assert(this.red, 'redMul works only with red numbers');\n this.red._verify2(this, num);\n return this.red.mul(this, num);\n };\n\n BN.prototype.redIMul = function redIMul (num) {\n assert(this.red, 'redMul works only with red numbers');\n this.red._verify2(this, num);\n return this.red.imul(this, num);\n };\n\n BN.prototype.redSqr = function redSqr () {\n assert(this.red, 'redSqr works only with red numbers');\n this.red._verify1(this);\n return this.red.sqr(this);\n };\n\n BN.prototype.redISqr = function redISqr () {\n assert(this.red, 'redISqr works only with red numbers');\n this.red._verify1(this);\n return this.red.isqr(this);\n };\n\n // Square root over p\n BN.prototype.redSqrt = function redSqrt () {\n assert(this.red, 'redSqrt works only with red numbers');\n this.red._verify1(this);\n return this.red.sqrt(this);\n };\n\n BN.prototype.redInvm = function redInvm () {\n assert(this.red, 'redInvm works only with red numbers');\n this.red._verify1(this);\n return this.red.invm(this);\n };\n\n // Return negative clone of `this` % `red modulo`\n BN.prototype.redNeg = function redNeg () {\n assert(this.red, 'redNeg works only with red numbers');\n this.red._verify1(this);\n return this.red.neg(this);\n };\n\n BN.prototype.redPow = function redPow (num) {\n assert(this.red && !num.red, 'redPow(normalNum)');\n this.red._verify1(this);\n return this.red.pow(this, num);\n };\n\n // Prime numbers with efficient reduction\n var primes = {\n k256: null,\n p224: null,\n p192: null,\n p25519: null\n };\n\n // Pseudo-Mersenne prime\n function MPrime (name, p) {\n // P = 2 ^ N - K\n this.name = name;\n this.p = new BN(p, 16);\n this.n = this.p.bitLength();\n this.k = new BN(1).iushln(this.n).isub(this.p);\n\n this.tmp = this._tmp();\n }\n\n MPrime.prototype._tmp = function _tmp () {\n var tmp = new BN(null);\n tmp.words = new Array(Math.ceil(this.n / 13));\n return tmp;\n };\n\n MPrime.prototype.ireduce = function ireduce (num) {\n // Assumes that `num` is less than `P^2`\n // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P)\n var r = num;\n var rlen;\n\n do {\n this.split(r, this.tmp);\n r = this.imulK(r);\n r = r.iadd(this.tmp);\n rlen = r.bitLength();\n } while (rlen > this.n);\n\n var cmp = rlen < this.n ? -1 : r.ucmp(this.p);\n if (cmp === 0) {\n r.words[0] = 0;\n r.length = 1;\n } else if (cmp > 0) {\n r.isub(this.p);\n } else {\n if (r.strip !== undefined) {\n // r is a BN v4 instance\n r.strip();\n } else {\n // r is a BN v5 instance\n r._strip();\n }\n }\n\n return r;\n };\n\n MPrime.prototype.split = function split (input, out) {\n input.iushrn(this.n, 0, out);\n };\n\n MPrime.prototype.imulK = function imulK (num) {\n return num.imul(this.k);\n };\n\n function K256 () {\n MPrime.call(\n this,\n 'k256',\n 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f');\n }\n inherits(K256, MPrime);\n\n K256.prototype.split = function split (input, output) {\n // 256 = 9 * 26 + 22\n var mask = 0x3fffff;\n\n var outLen = Math.min(input.length, 9);\n for (var i = 0; i < outLen; i++) {\n output.words[i] = input.words[i];\n }\n output.length = outLen;\n\n if (input.length <= 9) {\n input.words[0] = 0;\n input.length = 1;\n return;\n }\n\n // Shift by 9 limbs\n var prev = input.words[9];\n output.words[output.length++] = prev & mask;\n\n for (i = 10; i < input.length; i++) {\n var next = input.words[i] | 0;\n input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22);\n prev = next;\n }\n prev >>>= 22;\n input.words[i - 10] = prev;\n if (prev === 0 && input.length > 10) {\n input.length -= 10;\n } else {\n input.length -= 9;\n }\n };\n\n K256.prototype.imulK = function imulK (num) {\n // K = 0x1000003d1 = [ 0x40, 0x3d1 ]\n num.words[num.length] = 0;\n num.words[num.length + 1] = 0;\n num.length += 2;\n\n // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390\n var lo = 0;\n for (var i = 0; i < num.length; i++) {\n var w = num.words[i] | 0;\n lo += w * 0x3d1;\n num.words[i] = lo & 0x3ffffff;\n lo = w * 0x40 + ((lo / 0x4000000) | 0);\n }\n\n // Fast length reduction\n if (num.words[num.length - 1] === 0) {\n num.length--;\n if (num.words[num.length - 1] === 0) {\n num.length--;\n }\n }\n return num;\n };\n\n function P224 () {\n MPrime.call(\n this,\n 'p224',\n 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001');\n }\n inherits(P224, MPrime);\n\n function P192 () {\n MPrime.call(\n this,\n 'p192',\n 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff');\n }\n inherits(P192, MPrime);\n\n function P25519 () {\n // 2 ^ 255 - 19\n MPrime.call(\n this,\n '25519',\n '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed');\n }\n inherits(P25519, MPrime);\n\n P25519.prototype.imulK = function imulK (num) {\n // K = 0x13\n var carry = 0;\n for (var i = 0; i < num.length; i++) {\n var hi = (num.words[i] | 0) * 0x13 + carry;\n var lo = hi & 0x3ffffff;\n hi >>>= 26;\n\n num.words[i] = lo;\n carry = hi;\n }\n if (carry !== 0) {\n num.words[num.length++] = carry;\n }\n return num;\n };\n\n // Exported mostly for testing purposes, use plain name instead\n BN._prime = function prime (name) {\n // Cached version of prime\n if (primes[name]) return primes[name];\n\n var prime;\n if (name === 'k256') {\n prime = new K256();\n } else if (name === 'p224') {\n prime = new P224();\n } else if (name === 'p192') {\n prime = new P192();\n } else if (name === 'p25519') {\n prime = new P25519();\n } else {\n throw new Error('Unknown prime ' + name);\n }\n primes[name] = prime;\n\n return prime;\n };\n\n //\n // Base reduction engine\n //\n function Red (m) {\n if (typeof m === 'string') {\n var prime = BN._prime(m);\n this.m = prime.p;\n this.prime = prime;\n } else {\n assert(m.gtn(1), 'modulus must be greater than 1');\n this.m = m;\n this.prime = null;\n }\n }\n\n Red.prototype._verify1 = function _verify1 (a) {\n assert(a.negative === 0, 'red works only with positives');\n assert(a.red, 'red works only with red numbers');\n };\n\n Red.prototype._verify2 = function _verify2 (a, b) {\n assert((a.negative | b.negative) === 0, 'red works only with positives');\n assert(a.red && a.red === b.red,\n 'red works only with red numbers');\n };\n\n Red.prototype.imod = function imod (a) {\n if (this.prime) return this.prime.ireduce(a)._forceRed(this);\n\n move(a, a.umod(this.m)._forceRed(this));\n return a;\n };\n\n Red.prototype.neg = function neg (a) {\n if (a.isZero()) {\n return a.clone();\n }\n\n return this.m.sub(a)._forceRed(this);\n };\n\n Red.prototype.add = function add (a, b) {\n this._verify2(a, b);\n\n var res = a.add(b);\n if (res.cmp(this.m) >= 0) {\n res.isub(this.m);\n }\n return res._forceRed(this);\n };\n\n Red.prototype.iadd = function iadd (a, b) {\n this._verify2(a, b);\n\n var res = a.iadd(b);\n if (res.cmp(this.m) >= 0) {\n res.isub(this.m);\n }\n return res;\n };\n\n Red.prototype.sub = function sub (a, b) {\n this._verify2(a, b);\n\n var res = a.sub(b);\n if (res.cmpn(0) < 0) {\n res.iadd(this.m);\n }\n return res._forceRed(this);\n };\n\n Red.prototype.isub = function isub (a, b) {\n this._verify2(a, b);\n\n var res = a.isub(b);\n if (res.cmpn(0) < 0) {\n res.iadd(this.m);\n }\n return res;\n };\n\n Red.prototype.shl = function shl (a, num) {\n this._verify1(a);\n return this.imod(a.ushln(num));\n };\n\n Red.prototype.imul = function imul (a, b) {\n this._verify2(a, b);\n return this.imod(a.imul(b));\n };\n\n Red.prototype.mul = function mul (a, b) {\n this._verify2(a, b);\n return this.imod(a.mul(b));\n };\n\n Red.prototype.isqr = function isqr (a) {\n return this.imul(a, a.clone());\n };\n\n Red.prototype.sqr = function sqr (a) {\n return this.mul(a, a);\n };\n\n Red.prototype.sqrt = function sqrt (a) {\n if (a.isZero()) return a.clone();\n\n var mod3 = this.m.andln(3);\n assert(mod3 % 2 === 1);\n\n // Fast case\n if (mod3 === 3) {\n var pow = this.m.add(new BN(1)).iushrn(2);\n return this.pow(a, pow);\n }\n\n // Tonelli-Shanks algorithm (Totally unoptimized and slow)\n //\n // Find Q and S, that Q * 2 ^ S = (P - 1)\n var q = this.m.subn(1);\n var s = 0;\n while (!q.isZero() && q.andln(1) === 0) {\n s++;\n q.iushrn(1);\n }\n assert(!q.isZero());\n\n var one = new BN(1).toRed(this);\n var nOne = one.redNeg();\n\n // Find quadratic non-residue\n // NOTE: Max is such because of generalized Riemann hypothesis.\n var lpow = this.m.subn(1).iushrn(1);\n var z = this.m.bitLength();\n z = new BN(2 * z * z).toRed(this);\n\n while (this.pow(z, lpow).cmp(nOne) !== 0) {\n z.redIAdd(nOne);\n }\n\n var c = this.pow(z, q);\n var r = this.pow(a, q.addn(1).iushrn(1));\n var t = this.pow(a, q);\n var m = s;\n while (t.cmp(one) !== 0) {\n var tmp = t;\n for (var i = 0; tmp.cmp(one) !== 0; i++) {\n tmp = tmp.redSqr();\n }\n assert(i < m);\n var b = this.pow(c, new BN(1).iushln(m - i - 1));\n\n r = r.redMul(b);\n c = b.redSqr();\n t = t.redMul(c);\n m = i;\n }\n\n return r;\n };\n\n Red.prototype.invm = function invm (a) {\n var inv = a._invmp(this.m);\n if (inv.negative !== 0) {\n inv.negative = 0;\n return this.imod(inv).redNeg();\n } else {\n return this.imod(inv);\n }\n };\n\n Red.prototype.pow = function pow (a, num) {\n if (num.isZero()) return new BN(1).toRed(this);\n if (num.cmpn(1) === 0) return a.clone();\n\n var windowSize = 4;\n var wnd = new Array(1 << windowSize);\n wnd[0] = new BN(1).toRed(this);\n wnd[1] = a;\n for (var i = 2; i < wnd.length; i++) {\n wnd[i] = this.mul(wnd[i - 1], a);\n }\n\n var res = wnd[0];\n var current = 0;\n var currentLen = 0;\n var start = num.bitLength() % 26;\n if (start === 0) {\n start = 26;\n }\n\n for (i = num.length - 1; i >= 0; i--) {\n var word = num.words[i];\n for (var j = start - 1; j >= 0; j--) {\n var bit = (word >> j) & 1;\n if (res !== wnd[0]) {\n res = this.sqr(res);\n }\n\n if (bit === 0 && current === 0) {\n currentLen = 0;\n continue;\n }\n\n current <<= 1;\n current |= bit;\n currentLen++;\n if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue;\n\n res = this.mul(res, wnd[current]);\n currentLen = 0;\n current = 0;\n }\n start = 26;\n }\n\n return res;\n };\n\n Red.prototype.convertTo = function convertTo (num) {\n var r = num.umod(this.m);\n\n return r === num ? r.clone() : r;\n };\n\n Red.prototype.convertFrom = function convertFrom (num) {\n var res = num.clone();\n res.red = null;\n return res;\n };\n\n //\n // Montgomery method engine\n //\n\n BN.mont = function mont (num) {\n return new Mont(num);\n };\n\n function Mont (m) {\n Red.call(this, m);\n\n this.shift = this.m.bitLength();\n if (this.shift % 26 !== 0) {\n this.shift += 26 - (this.shift % 26);\n }\n\n this.r = new BN(1).iushln(this.shift);\n this.r2 = this.imod(this.r.sqr());\n this.rinv = this.r._invmp(this.m);\n\n this.minv = this.rinv.mul(this.r).isubn(1).div(this.m);\n this.minv = this.minv.umod(this.r);\n this.minv = this.r.sub(this.minv);\n }\n inherits(Mont, Red);\n\n Mont.prototype.convertTo = function convertTo (num) {\n return this.imod(num.ushln(this.shift));\n };\n\n Mont.prototype.convertFrom = function convertFrom (num) {\n var r = this.imod(num.mul(this.rinv));\n r.red = null;\n return r;\n };\n\n Mont.prototype.imul = function imul (a, b) {\n if (a.isZero() || b.isZero()) {\n a.words[0] = 0;\n a.length = 1;\n return a;\n }\n\n var t = a.imul(b);\n var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n var u = t.isub(c).iushrn(this.shift);\n var res = u;\n\n if (u.cmp(this.m) >= 0) {\n res = u.isub(this.m);\n } else if (u.cmpn(0) < 0) {\n res = u.iadd(this.m);\n }\n\n return res._forceRed(this);\n };\n\n Mont.prototype.mul = function mul (a, b) {\n if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this);\n\n var t = a.mul(b);\n var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n var u = t.isub(c).iushrn(this.shift);\n var res = u;\n if (u.cmp(this.m) >= 0) {\n res = u.isub(this.m);\n } else if (u.cmpn(0) < 0) {\n res = u.iadd(this.m);\n }\n\n return res._forceRed(this);\n };\n\n Mont.prototype.invm = function invm (a) {\n // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R\n var res = this.imod(a._invmp(this.m).mul(this.r2));\n return res._forceRed(this);\n };\n})(typeof module === 'undefined' || module, this);\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./node_modules/bn.js/lib/bn.js\n// module id = 0\n// module chunks = 0","\"use strict\";\n\n/*\nPrimary Attribution\nRichard Moore \nhttps://github.com/ethers-io\n\nNote, Richard is a god of ether gods. Follow and respect him, and use Ethers.io!\n*/\n\nvar BN = require('bn.js');\nvar numberToBN = require('@metamask/number-to-bn');\nvar zero = new BN(0);\nvar negative1 = new BN(-1);\n\n// complete ethereum unit map\nvar unitMap = {\n 'noether': '0',\n // eslint-disable-line\n 'wei': '1',\n // eslint-disable-line\n 'kwei': '1000',\n // eslint-disable-line\n 'Kwei': '1000',\n // eslint-disable-line\n 'babbage': '1000',\n // eslint-disable-line\n 'femtoether': '1000',\n // eslint-disable-line\n 'mwei': '1000000',\n // eslint-disable-line\n 'Mwei': '1000000',\n // eslint-disable-line\n 'lovelace': '1000000',\n // eslint-disable-line\n 'picoether': '1000000',\n // eslint-disable-line\n 'gwei': '1000000000',\n // eslint-disable-line\n 'Gwei': '1000000000',\n // eslint-disable-line\n 'shannon': '1000000000',\n // eslint-disable-line\n 'nanoether': '1000000000',\n // eslint-disable-line\n 'nano': '1000000000',\n // eslint-disable-line\n 'szabo': '1000000000000',\n // eslint-disable-line\n 'microether': '1000000000000',\n // eslint-disable-line\n 'micro': '1000000000000',\n // eslint-disable-line\n 'finney': '1000000000000000',\n // eslint-disable-line\n 'milliether': '1000000000000000',\n // eslint-disable-line\n 'milli': '1000000000000000',\n // eslint-disable-line\n 'ether': '1000000000000000000',\n // eslint-disable-line\n 'kether': '1000000000000000000000',\n // eslint-disable-line\n 'grand': '1000000000000000000000',\n // eslint-disable-line\n 'mether': '1000000000000000000000000',\n // eslint-disable-line\n 'gether': '1000000000000000000000000000',\n // eslint-disable-line\n 'tether': '1000000000000000000000000000000' // eslint-disable-line\n};\n\n/**\n * Returns value of unit in Wei\n *\n * @method getValueOfUnit\n * @param {String} unit the unit to convert to, default ether\n * @returns {BigNumber} value of the unit (in Wei)\n * @throws error if the unit is not correct:w\n */\nfunction getValueOfUnit(unitInput) {\n var unit = unitInput ? unitInput.toLowerCase() : 'ether';\n var unitValue = unitMap[unit]; // eslint-disable-line\n\n if (typeof unitValue !== 'string') {\n throw new Error(\"[ethjs-unit] the unit provided \" + unitInput + \" doesn't exists, please use the one of the following units \" + JSON.stringify(unitMap, null, 2));\n }\n return new BN(unitValue, 10);\n}\nfunction numberToString(arg) {\n if (typeof arg === 'string') {\n if (!arg.match(/^-?[0-9.]+$/)) {\n throw new Error(\"while converting number to string, invalid number value '\" + arg + \"', should be a number matching (^-?[0-9.]+).\");\n }\n return arg;\n }\n if (typeof arg === 'number') {\n return String(arg);\n }\n if (typeof arg === 'object' && arg.toString && (arg.toTwos || arg.dividedToIntegerBy)) {\n if (arg.toPrecision) {\n return String(arg.toPrecision());\n }\n return arg.toString(10);\n }\n throw new Error(\"while converting number to string, invalid number value '\" + arg + \"' type \" + typeof arg + \".\");\n}\nfunction fromWei(weiInput, unit, optionsInput) {\n var wei = numberToBN(weiInput); // eslint-disable-line\n var negative = wei.lt(zero); // eslint-disable-line\n var base = getValueOfUnit(unit);\n var baseLength = unitMap[unit].length - 1 || 1;\n var options = optionsInput || {};\n if (negative) {\n wei = wei.mul(negative1);\n }\n var fraction = wei.mod(base).toString(10); // eslint-disable-line\n\n while (fraction.length < baseLength) {\n fraction = \"0\" + fraction;\n }\n if (!options.pad) {\n fraction = fraction.match(/^([0-9]*[1-9]|0)(0*)/)[1]; // eslint-disable-line prefer-destructuring\n }\n\n var whole = wei.div(base).toString(10); // eslint-disable-line\n\n if (options.commify) {\n whole = whole.replace(/\\B(?=(\\d{3})+(?!\\d))/g, ',');\n }\n var value = \"\" + whole + (fraction == '0' ? '' : \".\" + fraction); // eslint-disable-line\n\n if (negative) {\n value = \"-\" + value;\n }\n return value;\n}\nfunction toWei(etherInput, unit) {\n var ether = numberToString(etherInput); // eslint-disable-line\n var base = getValueOfUnit(unit);\n var baseLength = unitMap[unit].length - 1 || 1;\n\n // Is it negative?\n var negative = ether.substring(0, 1) === '-'; // eslint-disable-line\n if (negative) {\n ether = ether.substring(1);\n }\n if (ether === '.') {\n throw new Error(\"[ethjs-unit] while converting number \" + etherInput + \" to wei, invalid value\");\n }\n\n // Split it into a whole and fractional part\n var comps = ether.split('.'); // eslint-disable-line\n if (comps.length > 2) {\n throw new Error(\"[ethjs-unit] while converting number \" + etherInput + \" to wei, too many decimal points\");\n }\n var whole = comps[0],\n fraction = comps[1]; // eslint-disable-line\n\n if (!whole) {\n whole = '0';\n }\n if (!fraction) {\n fraction = '0';\n }\n if (fraction.length > baseLength) {\n throw new Error(\"[ethjs-unit] while converting number \" + etherInput + \" to wei, too many decimal places\");\n }\n while (fraction.length < baseLength) {\n fraction += '0';\n }\n whole = new BN(whole);\n fraction = new BN(fraction);\n var wei = whole.mul(base).add(fraction); // eslint-disable-line\n\n if (negative) {\n wei = wei.mul(negative1);\n }\n return new BN(wei.toString(10), 10);\n}\nmodule.exports = {\n unitMap: unitMap,\n numberToString: numberToString,\n getValueOfUnit: getValueOfUnit,\n fromWei: fromWei,\n toWei: toWei\n};\n\n\n// WEBPACK FOOTER //\n// ./lib/index.js","module.exports = function(module) {\r\n\tif(!module.webpackPolyfill) {\r\n\t\tmodule.deprecate = function() {};\r\n\t\tmodule.paths = [];\r\n\t\t// module.parent = undefined by default\r\n\t\tif(!module.children) module.children = [];\r\n\t\tObject.defineProperty(module, \"loaded\", {\r\n\t\t\tenumerable: true,\r\n\t\t\tget: function() {\r\n\t\t\t\treturn module.l;\r\n\t\t\t}\r\n\t\t});\r\n\t\tObject.defineProperty(module, \"id\", {\r\n\t\t\tenumerable: true,\r\n\t\t\tget: function() {\r\n\t\t\t\treturn module.i;\r\n\t\t\t}\r\n\t\t});\r\n\t\tmodule.webpackPolyfill = 1;\r\n\t}\r\n\treturn module;\r\n};\r\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// (webpack)/buildin/module.js\n// module id = 2\n// module chunks = 0","/* (ignored) */\n\n\n//////////////////\n// WEBPACK FOOTER\n// buffer (ignored)\n// module id = 3\n// module chunks = 0","var BN = require('bn.js');\nvar stripHexPrefix = require('strip-hex-prefix');\n\n/**\n * Returns a BN object, converts a number value to a BN\n * @param {String|Number|Object} `arg` input a string number, hex string number, number, BigNumber or BN object\n * @return {Object} `output` BN object of the number\n * @throws if the argument is not an array, object that isn't a bignumber, not a string number or number\n */\nmodule.exports = function numberToBN(arg) {\n if (typeof arg === 'string' || typeof arg === 'number') {\n var multiplier = new BN(1); // eslint-disable-line\n var formattedString = String(arg).toLowerCase().trim();\n var isHexPrefixed = formattedString.substr(0, 2) === '0x' || formattedString.substr(0, 3) === '-0x';\n var stringArg = stripHexPrefix(formattedString); // eslint-disable-line\n if (stringArg.substr(0, 1) === '-') {\n stringArg = stripHexPrefix(stringArg.slice(1));\n multiplier = new BN(-1, 10);\n }\n stringArg = stringArg === '' ? '0' : stringArg;\n\n if ((!stringArg.match(/^-?[0-9]+$/) && stringArg.match(/^[0-9A-Fa-f]+$/))\n || stringArg.match(/^[a-fA-F]+$/)\n || (isHexPrefixed === true && stringArg.match(/^[0-9A-Fa-f]+$/))) {\n return new BN(stringArg, 16).mul(multiplier);\n }\n\n if ((stringArg.match(/^-?[0-9]+$/) || stringArg === '') && isHexPrefixed === false) {\n return new BN(stringArg, 10).mul(multiplier);\n }\n } else if (typeof arg === 'object' && arg.toString && (!arg.pop && !arg.push)) {\n if (arg.toString(10).match(/^-?[0-9]+$/) && (arg.mul || arg.dividedToIntegerBy)) {\n return new BN(arg.toString(10), 10);\n }\n }\n\n throw new Error('[number-to-bn] while converting number ' + JSON.stringify(arg) + ' to BN.js instance, error: invalid number value. Value must be an integer, hex string, BN or BigNumber instance. Note, decimals are not supported.');\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./node_modules/@metamask/number-to-bn/src/index.js\n// module id = 4\n// module chunks = 0","var isHexPrefixed = require('is-hex-prefixed');\n\n/**\n * Removes '0x' from a given `String` is present\n * @param {String} str the string value\n * @return {String|Optional} a string by pass if necessary\n */\nmodule.exports = function stripHexPrefix(str) {\n if (typeof str !== 'string') {\n return str;\n }\n\n return isHexPrefixed(str) ? str.slice(2) : str;\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./node_modules/strip-hex-prefix/src/index.js\n// module id = 5\n// module chunks = 0","/**\n * Returns a `Boolean` on whether or not the a `String` starts with '0x'\n * @param {String} str the string input value\n * @return {Boolean} a boolean if it is or is not hex prefixed\n * @throws if the str input is not a string\n */\nmodule.exports = function isHexPrefixed(str) {\n if (typeof str !== 'string') {\n throw new Error(\"[is-hex-prefixed] value must be type 'string', is currently type \" + (typeof str) + \", while checking isHexPrefixed.\");\n }\n\n return str.slice(0, 2) === '0x';\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./node_modules/is-hex-prefixed/src/index.js\n// module id = 6\n// module chunks = 0"],"mappings":";AAAA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;ACVA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;;;;;;;AC7DA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;;;;;;;;;AC19GA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AAEA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;;;;;;AC1LA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;;;;;;;ACrBA;;;;;;ACAA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;;;;;;;ACrCA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;;;;;;;ACbA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;AACA;;;;;A","sourceRoot":""} \ No newline at end of file +{"version":3,"file":"ethjs-unit.js","sources":["webpack:///webpack/universalModuleDefinition","webpack:///webpack/bootstrap 5b6f3724cc487bbc24eb","webpack:///./lib/index.js"],"sourcesContent":["(function webpackUniversalModuleDefinition(root, factory) {\n\tif(typeof exports === 'object' && typeof module === 'object')\n\t\tmodule.exports = factory();\n\telse if(typeof define === 'function' && define.amd)\n\t\tdefine(\"ethUnit\", [], factory);\n\telse if(typeof exports === 'object')\n\t\texports[\"ethUnit\"] = factory();\n\telse\n\t\troot[\"ethUnit\"] = factory();\n})(typeof self !== 'undefined' ? self : this, function() {\nreturn \n\n\n// WEBPACK FOOTER //\n// webpack/universalModuleDefinition"," \t// The module cache\n \tvar installedModules = {};\n\n \t// The require function\n \tfunction __webpack_require__(moduleId) {\n\n \t\t// Check if module is in cache\n \t\tif(installedModules[moduleId]) {\n \t\t\treturn installedModules[moduleId].exports;\n \t\t}\n \t\t// Create a new module (and put it into the cache)\n \t\tvar module = installedModules[moduleId] = {\n \t\t\ti: moduleId,\n \t\t\tl: false,\n \t\t\texports: {}\n \t\t};\n\n \t\t// Execute the module function\n \t\tmodules[moduleId].call(module.exports, module, module.exports, __webpack_require__);\n\n \t\t// Flag the module as loaded\n \t\tmodule.l = true;\n\n \t\t// Return the exports of the module\n \t\treturn module.exports;\n \t}\n\n\n \t// expose the modules object (__webpack_modules__)\n \t__webpack_require__.m = modules;\n\n \t// expose the module cache\n \t__webpack_require__.c = installedModules;\n\n \t// define getter function for harmony exports\n \t__webpack_require__.d = function(exports, name, getter) {\n \t\tif(!__webpack_require__.o(exports, name)) {\n \t\t\tObject.defineProperty(exports, name, {\n \t\t\t\tconfigurable: false,\n \t\t\t\tenumerable: true,\n \t\t\t\tget: getter\n \t\t\t});\n \t\t}\n \t};\n\n \t// getDefaultExport function for compatibility with non-harmony modules\n \t__webpack_require__.n = function(module) {\n \t\tvar getter = module && module.__esModule ?\n \t\t\tfunction getDefault() { return module['default']; } :\n \t\t\tfunction getModuleExports() { return module; };\n \t\t__webpack_require__.d(getter, 'a', getter);\n \t\treturn getter;\n \t};\n\n \t// Object.prototype.hasOwnProperty.call\n \t__webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); };\n\n \t// __webpack_public_path__\n \t__webpack_require__.p = \"\";\n\n \t// Load entry module and return exports\n \treturn __webpack_require__(__webpack_require__.s = 0);\n\n\n\n// WEBPACK FOOTER //\n// webpack/bootstrap 5b6f3724cc487bbc24eb","\"use strict\";\n\n/*\nPrimary Attribution\nRichard Moore \nhttps://github.com/ethers-io\n\nNote, Richard is a god of ether gods. Follow and respect him, and use Ethers.io!\n*/\n\nvar zero = BigInt(0);\nvar negative1 = BigInt(-1);\nfunction numberToBigInt(arg) {\n if (typeof arg === \"string\") {\n return BigInt(arg);\n }\n if (typeof arg === \"number\") {\n return BigInt(arg);\n }\n // eslint-disable-next-line valid-typeof\n if (typeof arg === \"bigint\") {\n return arg;\n }\n if (typeof arg === \"object\" && arg !== null) {\n if (typeof arg.toString === \"function\") {\n return BigInt(arg.toString());\n }\n }\n throw new Error(\"Cannot convert \" + typeof arg + \" to BigInt\");\n}\n\n// complete ethereum unit map\nvar unitMap = {\n noether: \"0\",\n // eslint-disable-line\n wei: \"1\",\n // eslint-disable-line\n kwei: \"1000\",\n // eslint-disable-line\n Kwei: \"1000\",\n // eslint-disable-line\n babbage: \"1000\",\n // eslint-disable-line\n femtoether: \"1000\",\n // eslint-disable-line\n mwei: \"1000000\",\n // eslint-disable-line\n Mwei: \"1000000\",\n // eslint-disable-line\n lovelace: \"1000000\",\n // eslint-disable-line\n picoether: \"1000000\",\n // eslint-disable-line\n gwei: \"1000000000\",\n // eslint-disable-line\n Gwei: \"1000000000\",\n // eslint-disable-line\n shannon: \"1000000000\",\n // eslint-disable-line\n nanoether: \"1000000000\",\n // eslint-disable-line\n nano: \"1000000000\",\n // eslint-disable-line\n szabo: \"1000000000000\",\n // eslint-disable-line\n microether: \"1000000000000\",\n // eslint-disable-line\n micro: \"1000000000000\",\n // eslint-disable-line\n finney: \"1000000000000000\",\n // eslint-disable-line\n milliether: \"1000000000000000\",\n // eslint-disable-line\n milli: \"1000000000000000\",\n // eslint-disable-line\n ether: \"1000000000000000000\",\n // eslint-disable-line\n kether: \"1000000000000000000000\",\n // eslint-disable-line\n grand: \"1000000000000000000000\",\n // eslint-disable-line\n mether: \"1000000000000000000000000\",\n // eslint-disable-line\n gether: \"1000000000000000000000000000\",\n // eslint-disable-line\n tether: \"1000000000000000000000000000000\" // eslint-disable-line\n};\n\n/**\n * Returns value of unit in Wei\n *\n * @method getValueOfUnit\n * @param {String} unit the unit to convert to, default ether\n * @returns {bigint} value of the unit (in Wei)\n * @throws error if the unit is not correct:w\n */\nfunction getValueOfUnit(unitInput) {\n var unit = unitInput ? unitInput.toLowerCase() : \"ether\";\n var unitValue = unitMap[unit]; // eslint-disable-line\n\n if (typeof unitValue !== \"string\") {\n throw new Error(\"[ethjs-unit] the unit provided \" + unitInput + \" doesn't exists, please use the one of the following units \" + JSON.stringify(unitMap, null, 2));\n }\n return BigInt(unitValue);\n}\n\n/**\n * Converts a number to a string\n *\n * @method numberToString\n * @param {Number|bigint|String|Object} arg the number to convert to a string\n * @returns {String} the string representation of the number\n * @throws error if the number is invalid\n */\nfunction numberToString(arg) {\n if (typeof arg === \"string\") {\n if (!arg.match(/^-?[0-9.]+$/)) {\n throw new Error(\"while converting number to string, invalid number value '\" + arg + \"', should be a number matching (^-?[0-9.]+).\");\n }\n return arg;\n }\n if (typeof arg === \"number\") {\n return String(arg);\n }\n // eslint-disable-next-line valid-typeof\n if (typeof arg === \"bigint\") {\n return arg.toString();\n }\n if (typeof arg === \"object\" && arg.toString && (arg.toTwos || arg.dividedToIntegerBy)) {\n if (arg.toPrecision) {\n return String(arg.toPrecision());\n }\n return arg.toString(10);\n }\n throw new Error(\"while converting number to string, invalid number value '\" + arg + \"' type \" + typeof arg + \".\");\n}\n\n/**\n * Converts a number from Wei to a string\n *\n * @method fromWei\n * @param {Number|bigint|String|Object} weiInput the number to convert from Wei\n * @param {String} unit the unit to convert to, default ether\n * @param {Object} options the options to use for the conversion\n * @returns {String} the string representation of the number\n * @throws error if the number is invalid\n */\nfunction fromWei(weiInput, unit, optionsInput) {\n var wei = numberToBigInt(weiInput); // eslint-disable-line\n var negative = wei < zero; // eslint-disable-line\n var base = getValueOfUnit(unit);\n var baseLength = unitMap[unit].length - 1 || 1;\n var options = optionsInput || {};\n if (negative) {\n wei = wei * negative1;\n }\n var fraction = (wei % base).toString(); // eslint-disable-line\n\n while (fraction.length < baseLength) {\n fraction = \"0\" + fraction;\n }\n if (!options.pad) {\n fraction = fraction.match(/^([0-9]*[1-9]|0)(0*)/)[1]; // eslint-disable-line prefer-destructuring\n }\n\n var whole = (wei / base).toString(); // eslint-disable-line\n\n if (options.commify) {\n whole = whole.replace(/\\B(?=(\\d{3})+(?!\\d))/g, \",\");\n }\n var value = \"\" + whole + (fraction == \"0\" ? \"\" : \".\" + fraction); // eslint-disable-line\n\n if (negative) {\n value = \"-\" + value;\n }\n return value;\n}\n\n/**\n * Converts a number to Wei\n *\n * @method toWei\n * @param {Number|bigint|String|Object} etherInput the number to convert to Wei\n * @param {String} unit the unit to convert to, default ether\n * @returns {bigint} the number in Wei\n * @throws error if the number is invalid\n */\nfunction toWei(etherInput, unit) {\n var ether = numberToString(etherInput); // eslint-disable-line\n var base = getValueOfUnit(unit);\n var baseLength = unitMap[unit].length - 1 || 1;\n\n // Is it negative?\n var negative = ether.substring(0, 1) === \"-\"; // eslint-disable-line\n if (negative) {\n ether = ether.substring(1);\n }\n if (ether === \".\") {\n throw new Error(\"[ethjs-unit] while converting number \" + etherInput + \" to wei, invalid value\");\n }\n\n // Split it into a whole and fractional part\n var comps = ether.split(\".\"); // eslint-disable-line\n if (comps.length > 2) {\n throw new Error(\"[ethjs-unit] while converting number \" + etherInput + \" to wei, too many decimal points\");\n }\n var whole = comps[0];\n var fraction = comps[1]; // eslint-disable-line\n\n if (!whole) {\n whole = \"0\";\n }\n if (!fraction) {\n fraction = \"0\";\n }\n if (fraction.length > baseLength) {\n throw new Error(\"[ethjs-unit] while converting number \" + etherInput + \" to wei, too many decimal places\");\n }\n while (fraction.length < baseLength) {\n fraction += \"0\";\n }\n whole = BigInt(whole);\n fraction = BigInt(fraction);\n var wei = whole * base + fraction; // eslint-disable-line\n\n if (negative) {\n wei = wei * negative1;\n }\n return wei;\n}\nmodule.exports = {\n unitMap: unitMap,\n numberToString: numberToString,\n getValueOfUnit: getValueOfUnit,\n fromWei: fromWei,\n toWei: toWei\n};\n\n\n// WEBPACK FOOTER //\n// ./lib/index.js"],"mappings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sourceRoot":""} \ No newline at end of file diff --git a/dist/ethjs-unit.min.js b/dist/ethjs-unit.min.js index 21094b5..ff1e3d5 100644 --- a/dist/ethjs-unit.min.js +++ b/dist/ethjs-unit.min.js @@ -1 +1 @@ -!function(t,i){"object"==typeof exports&&"object"==typeof module?module.exports=i():"function"==typeof define&&define.amd?define("ethUnit",[],i):"object"==typeof exports?exports.ethUnit=i():t.ethUnit=i()}("undefined"!=typeof self?self:this,function(){return function(t){function i(e){if(r[e])return r[e].exports;var n=r[e]={i:e,l:!1,exports:{}};return t[e].call(n.exports,n,n.exports,i),n.l=!0,n.exports}var r={};return i.m=t,i.c=r,i.d=function(t,r,e){i.o(t,r)||Object.defineProperty(t,r,{configurable:!1,enumerable:!0,get:e})},i.n=function(t){var r=t&&t.__esModule?function(){return t["default"]}:function(){return t};return i.d(r,"a",r),r},i.o=function(t,i){return Object.prototype.hasOwnProperty.call(t,i)},i.p="",i(i.s=1)}([function(t,i,r){(function(t){!function(t,i){"use strict";function e(t,i){if(!t)throw Error(i||"Assertion failed")}function n(t,i){t.super_=i;var r=function(){};r.prototype=i.prototype,t.prototype=new r,t.prototype.constructor=t}function h(t,i,r){if(h.isBN(t))return t;this.negative=0,this.words=null,this.length=0,this.red=null,null!==t&&("le"!==i&&"be"!==i||(r=i,i=10),this._init(t||0,i||10,r||"be"))}function o(t,i){var r=t.charCodeAt(i);return 48>r||r>57?65>r||r>70?97>r||r>102?void e(!1,"Invalid character in "+t):r-87:r-55:r-48}function s(t,i,r){var e=o(t,r);return i>r-1||(e|=o(t,r-1)<<4),e}function u(t,i,r,n){for(var h=0,o=0,s=Math.min(t.length,r),u=i;s>u;u++){var a=t.charCodeAt(u)-48;h*=n,o=49>a?17>a?a:a-17+10:a-49+10,e(a>=0&&n>o,"Invalid character"),h+=o}return h}function a(t,i){t.words=i.words,t.length=i.length,t.negative=i.negative,t.red=i.red}function l(){return(this.red?""}function f(t){for(var i=Array(t.bitLength()),r=0;i.length>r;r++){i[r]=t.words[r/26|0]>>>r%26&1}return i}function m(t,i,r){r.negative=i.negative^t.negative;var e=t.length+i.length|0;r.length=e,e=e-1|0;var n=0|t.words[0],h=0|i.words[0],o=n*h,s=67108863&o,u=o/67108864|0;r.words[0]=s;for(var a=1;e>a;a++){for(var l=u>>>26,f=67108863&u,m=Math.min(a,i.length-1),d=Math.max(0,a-t.length+1);m>=d;d++){n=0|t.words[a-d|0],h=0|i.words[d],o=n*h+f,l+=o/67108864|0,f=67108863&o}r.words[a]=0|f,u=0|l}return 0!==u?r.words[a]=0|u:r.length--,r._strip()}function d(t,i,r){r.negative=i.negative^t.negative,r.length=t.length+i.length;for(var e=0,n=0,h=0;r.length-1>h;h++){var o=n;n=0;for(var s=67108863&e,u=Math.min(h,i.length-1),a=Math.max(0,h-t.length+1);u>=a;a++){var l=h-a,f=0|t.words[l],m=0|i.words[a],d=f*m,p=67108863&d;o=o+(d/67108864|0)|0,p=p+s|0,s=67108863&p,o=o+(p>>>26)|0,n+=o>>>26,o&=67108863}r.words[h]=s,e=o,o=n}return 0!==e?r.words[h]=e:r.length--,r._strip()}function p(t,i,r){return d(t,i,r)}function c(t,i){this.x=t,this.y=i}function v(t,i){this.name=t,this.p=new h(i,16),this.n=this.p.bitLength(),this.k=new h(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function M(){v.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function g(){v.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function w(){v.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function y(){v.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function b(t){if("string"==typeof t){var i=h._prime(t);this.m=i.p,this.prime=i}else e(t.gtn(1),"modulus must be greater than 1"),this.m=t,this.prime=null}function _(t){b.call(this,t),this.shift=this.m.bitLength(),this.shift%26!=0&&(this.shift+=26-this.shift%26),this.r=new h(1).iushln(this.shift),this.r2=this.imod(this.r.sqr()),this.rinv=this.r._invmp(this.m),this.minv=this.rinv.mul(this.r).isubn(1).div(this.m),this.minv=this.minv.umod(this.r),this.minv=this.r.sub(this.minv)}"object"==typeof t?t.exports=h:i.BN=h,h.BN=h,h.wordSize=26;var x;try{x="undefined"!=typeof window&&"undefined"!=typeof window.Buffer?window.Buffer:r(3).Buffer}catch(N){}if(h.isBN=function(t){return t instanceof h||null!==t&&"object"==typeof t&&t.constructor.wordSize===h.wordSize&&Array.isArray(t.words)},h.max=function(t,i){return t.cmp(i)>0?t:i},h.min=function(t,i){return 0>t.cmp(i)?t:i},h.prototype._init=function(t,i,r){if("number"==typeof t)return this._initNumber(t,i,r);if("object"==typeof t)return this._initArray(t,i,r);"hex"===i&&(i=16),e(i===(0|i)&&i>=2&&36>=i),t=(""+t).replace(/\s+/g,"");var n=0;"-"===t[0]&&(n++,this.negative=1),t.length>n&&(16===i?this._parseHex(t,n,r):(this._parseBase(t,i,n),"le"===r&&this._initArray(this.toArray(),i,r)))},h.prototype._initNumber=function(t,i,r){0>t&&(this.negative=1,t=-t),67108864>t?(this.words=[67108863&t],this.length=1):4503599627370496>t?(this.words=[67108863&t,t/67108864&67108863],this.length=2):(e(9007199254740992>t),this.words=[67108863&t,t/67108864&67108863,1],this.length=3),"le"===r&&this._initArray(this.toArray(),i,r)},h.prototype._initArray=function(t,i,r){if(e("number"==typeof t.length),0>=t.length)return this.words=[0],this.length=1,this;this.length=Math.ceil(t.length/3),this.words=Array(this.length);for(var n=0;this.length>n;n++)this.words[n]=0;var h,o,s=0;if("be"===r)for(n=t.length-1,h=0;n>=0;n-=3)o=t[n]|t[n-1]<<8|t[n-2]<<16,this.words[h]|=o<>>26-s&67108863,26>(s+=24)||(s-=26,h++);else if("le"===r)for(n=0,h=0;t.length>n;n+=3)o=t[n]|t[n+1]<<8|t[n+2]<<16,this.words[h]|=o<>>26-s&67108863,26>(s+=24)||(s-=26,h++);return this._strip()},h.prototype._parseHex=function(t,i,r){this.length=Math.ceil((t.length-i)/6),this.words=Array(this.length);for(var e=0;this.length>e;e++)this.words[e]=0;var n,h=0,o=0;if("be"===r)for(e=t.length-1;e>=i;e-=2)n=s(t,i,e)<h?h+=8:(h-=18,o+=1,this.words[o]|=n>>>26);else{var u=t.length-i;for(e=u%2==0?i+1:i;t.length>e;e+=2)n=s(t,i,e)<h?h+=8:(h-=18,o+=1,this.words[o]|=n>>>26)}this._strip()},h.prototype._parseBase=function(t,i,r){this.words=[0],this.length=1;for(var e=0,n=1;67108863>=n;n*=i)e++;e--,n=n/i|0;for(var h=t.length-r,o=h%e,s=Math.min(h,h-o)+r,a=0,l=r;s>l;l+=e)a=u(t,l,l+e,i),this.imuln(n),67108864>this.words[0]+a?this.words[0]+=a:this._iaddn(a);if(0!==o){var f=1;for(a=u(t,l,t.length,i),l=0;o>l;l++)f*=i;this.imuln(f),67108864>this.words[0]+a?this.words[0]+=a:this._iaddn(a)}this._strip()},h.prototype.copy=function(t){t.words=Array(this.length);for(var i=0;this.length>i;i++)t.words[i]=this.words[i];t.length=this.length,t.negative=this.negative,t.red=this.red},h.prototype._move=function(t){a(t,this)},h.prototype.clone=function(){var t=new h(null);return this.copy(t),t},h.prototype._expand=function(t){for(;t>this.length;)this.words[this.length++]=0;return this},h.prototype._strip=function(){for(;this.length>1&&0===this.words[this.length-1];)this.length--;return this._normSign()},h.prototype._normSign=function(){return 1===this.length&&0===this.words[0]&&(this.negative=0),this},"undefined"!=typeof Symbol&&"function"==typeof Symbol["for"])try{h.prototype[Symbol["for"]("nodejs.util.inspect.custom")]=l}catch(N){h.prototype.inspect=l}else h.prototype.inspect=l;var k=["","0","00","000","0000","00000","000000","0000000","00000000","000000000","0000000000","00000000000","000000000000","0000000000000","00000000000000","000000000000000","0000000000000000","00000000000000000","000000000000000000","0000000000000000000","00000000000000000000","000000000000000000000","0000000000000000000000","00000000000000000000000","000000000000000000000000","0000000000000000000000000"],A=[0,0,25,16,12,11,10,9,8,8,7,7,7,7,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5],S=[0,0,33554432,43046721,16777216,48828125,60466176,40353607,16777216,43046721,1e7,19487171,35831808,62748517,7529536,11390625,16777216,24137569,34012224,47045881,64e6,4084101,5153632,6436343,7962624,9765625,11881376,14348907,17210368,20511149,243e5,28629151,33554432,39135393,45435424,52521875,60466176];h.prototype.toString=function(t,i){t=t||10,i=0|i||1;var r;if(16===t||"hex"===t){r="";for(var n=0,h=0,o=0;this.length>o;o++){var s=this.words[o],u=(16777215&(s<>>24-n&16777215,n+=2,26>n||(n-=26,o--),r=0!==h||o!==this.length-1?k[6-u.length]+u+r:u+r}for(0!==h&&(r=h.toString(16)+r);r.length%i!=0;)r="0"+r;return 0!==this.negative&&(r="-"+r),r}if(t===(0|t)&&t>=2&&36>=t){var a=A[t],l=S[t];r="";var f=this.clone();for(f.negative=0;!f.isZero();){var m=f.modrn(l).toString(t);f=f.idivn(l),r=f.isZero()?m+r:k[a-m.length]+m+r}for(this.isZero()&&(r="0"+r);r.length%i!=0;)r="0"+r;return 0!==this.negative&&(r="-"+r),r}e(!1,"Base should be between 2 and 36")},h.prototype.toNumber=function(){var t=this.words[0];return 2===this.length?t+=67108864*this.words[1]:3===this.length&&1===this.words[2]?t+=4503599627370496+67108864*this.words[1]:this.length>2&&e(!1,"Number can only safely store up to 53 bits"),0!==this.negative?-t:t},h.prototype.toJSON=function(){return this.toString(16,2)},x&&(h.prototype.toBuffer=function(t,i){return this.toArrayLike(x,t,i)}),h.prototype.toArray=function(t,i){return this.toArrayLike(Array,t,i)};var B=function(t,i){return t.allocUnsafe?t.allocUnsafe(i):new t(i)};h.prototype.toArrayLike=function(t,i,r){this._strip();var n=this.byteLength(),h=r||Math.max(1,n);e(h>=n,"byte array longer than desired length"),e(h>0,"Requested array length <= 0");var o=B(t,h);return this["_toArrayLike"+("le"===i?"LE":"BE")](o,n),o},h.prototype._toArrayLikeLE=function(t,i){for(var r=0,e=0,n=0,h=0;this.length>n;n++){var o=this.words[n]<r&&(t[r++]=o>>8&255),t.length>r&&(t[r++]=o>>16&255),6===h?(t.length>r&&(t[r++]=o>>24&255),e=0,h=0):(e=o>>>24,h+=2)}if(t.length>r)for(t[r++]=e;t.length>r;)t[r++]=0},h.prototype._toArrayLikeBE=function(t,i){for(var r=t.length-1,e=0,n=0,h=0;this.length>n;n++){var o=this.words[n]<r||(t[r--]=o>>8&255),0>r||(t[r--]=o>>16&255),6===h?(0>r||(t[r--]=o>>24&255),e=0,h=0):(e=o>>>24,h+=2)}if(r>=0)for(t[r--]=e;r>=0;)t[r--]=0},h.prototype._countBits=Math.clz32?function(t){return 32-Math.clz32(t)}:function(t){var i=t,r=0;return 4096>i||(r+=13,i>>>=13),64>i||(r+=7,i>>>=7),8>i||(r+=4,i>>>=4),2>i||(r+=2,i>>>=2),r+i},h.prototype._zeroBits=function(t){if(0===t)return 26;var i=t,r=0;return 0==(8191&i)&&(r+=13,i>>>=13),0==(127&i)&&(r+=7,i>>>=7),0==(15&i)&&(r+=4,i>>>=4),0==(3&i)&&(r+=2,i>>>=2),0==(1&i)&&r++,r},h.prototype.bitLength=function(){return 26*(this.length-1)+this._countBits(this.words[this.length-1])},h.prototype.zeroBits=function(){if(this.isZero())return 0;for(var t=0,i=0;this.length>i;i++){var r=this._zeroBits(this.words[i]);if(t+=r,26!==r)break}return t},h.prototype.byteLength=function(){return Math.ceil(this.bitLength()/8)},h.prototype.toTwos=function(t){return 0!==this.negative?this.abs().inotn(t).iaddn(1):this.clone()},h.prototype.fromTwos=function(t){return this.testn(t-1)?this.notn(t).iaddn(1).ineg():this.clone()},h.prototype.isNeg=function(){return 0!==this.negative},h.prototype.neg=function(){return this.clone().ineg()},h.prototype.ineg=function(){return this.isZero()||(this.negative^=1),this},h.prototype.iuor=function(t){for(;t.length>this.length;)this.words[this.length++]=0;for(var i=0;t.length>i;i++)this.words[i]=this.words[i]|t.words[i];return this._strip()},h.prototype.ior=function(t){return e(0==(this.negative|t.negative)),this.iuor(t)},h.prototype.or=function(t){return this.length>t.length?this.clone().ior(t):t.clone().ior(this)},h.prototype.uor=function(t){return this.length>t.length?this.clone().iuor(t):t.clone().iuor(this)},h.prototype.iuand=function(t){var i;i=this.length>t.length?t:this;for(var r=0;i.length>r;r++)this.words[r]=this.words[r]&t.words[r];return this.length=i.length,this._strip()},h.prototype.iand=function(t){return e(0==(this.negative|t.negative)),this.iuand(t)},h.prototype.and=function(t){return this.length>t.length?this.clone().iand(t):t.clone().iand(this)},h.prototype.uand=function(t){return this.length>t.length?this.clone().iuand(t):t.clone().iuand(this)},h.prototype.iuxor=function(t){var i,r;this.length>t.length?(i=this,r=t):(i=t,r=this);for(var e=0;r.length>e;e++)this.words[e]=i.words[e]^r.words[e];if(this!==i)for(;i.length>e;e++)this.words[e]=i.words[e];return this.length=i.length,this._strip()},h.prototype.ixor=function(t){return e(0==(this.negative|t.negative)),this.iuxor(t)},h.prototype.xor=function(t){return this.length>t.length?this.clone().ixor(t):t.clone().ixor(this)},h.prototype.uxor=function(t){return this.length>t.length?this.clone().iuxor(t):t.clone().iuxor(this)},h.prototype.inotn=function(t){e("number"==typeof t&&t>=0);var i=0|Math.ceil(t/26),r=t%26;this._expand(i),r>0&&i--;for(var n=0;i>n;n++)this.words[n]=67108863&~this.words[n];return r>0&&(this.words[n]=~this.words[n]&67108863>>26-r),this._strip()},h.prototype.notn=function(t){return this.clone().inotn(t)},h.prototype.setn=function(t,i){e("number"==typeof t&&t>=0);var r=t/26|0,n=t%26;return this._expand(r+1),this.words[r]=i?this.words[r]|1<t.length?(r=this,e=t):(r=t,e=this);for(var n=0,h=0;e.length>h;h++)i=(0|r.words[h])+(0|e.words[h])+n,this.words[h]=67108863&i,n=i>>>26;for(;0!==n&&r.length>h;h++)i=(0|r.words[h])+n,this.words[h]=67108863&i,n=i>>>26;if(this.length=r.length,0!==n)this.words[this.length]=n,this.length++;else if(r!==this)for(;r.length>h;h++)this.words[h]=r.words[h];return this},h.prototype.add=function(t){var i;return 0!==t.negative&&0===this.negative?(t.negative=0,i=this.sub(t),t.negative^=1,i):0===t.negative&&0!==this.negative?(this.negative=0,i=t.sub(this),this.negative=1,i):this.length>t.length?this.clone().iadd(t):t.clone().iadd(this)},h.prototype.isub=function(t){if(0!==t.negative){t.negative=0;var i=this.iadd(t);return t.negative=1,i._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(t),this.negative=1,this._normSign();var r=this.cmp(t);if(0===r)return this.negative=0,this.length=1,this.words[0]=0,this;var e,n;r>0?(e=this,n=t):(e=t,n=this);for(var h=0,o=0;n.length>o;o++)i=(0|e.words[o])-(0|n.words[o])+h,h=i>>26,this.words[o]=67108863&i;for(;0!==h&&e.length>o;o++)i=(0|e.words[o])+h,h=i>>26,this.words[o]=67108863&i;if(0===h&&e.length>o&&e!==this)for(;e.length>o;o++)this.words[o]=e.words[o];return this.length=Math.max(this.length,o),e!==this&&(this.negative=1),this._strip()},h.prototype.sub=function(t){return this.clone().isub(t)};var R=function(t,i,r){var e,n,h,o=t.words,s=i.words,u=r.words,a=0,l=0|o[0],f=8191&l,m=l>>>13,d=0|o[1],p=8191&d,c=d>>>13,v=0|o[2],M=8191&v,g=v>>>13,w=0|o[3],y=8191&w,b=w>>>13,_=0|o[4],x=8191&_,k=_>>>13,A=0|o[5],S=8191&A,B=A>>>13,R=0|o[6],q=8191&R,N=R>>>13,Z=0|o[7],L=8191&Z,j=Z>>>13,E=0|o[8],I=8191&E,O=E>>>13,T=0|o[9],P=8191&T,z=T>>>13,U=0|s[0],$=8191&U,F=U>>>13,K=0|s[1],C=8191&K,H=K>>>13,J=0|s[2],D=8191&J,V=J>>>13,W=0|s[3],G=8191&W,Q=W>>>13,X=0|s[4],Y=8191&X,tt=X>>>13,it=0|s[5],rt=8191&it,et=it>>>13,nt=0|s[6],ht=8191&nt,ot=nt>>>13,st=0|s[7],ut=8191&st,at=st>>>13,lt=0|s[8],ft=8191<,mt=lt>>>13,dt=0|s[9],pt=8191&dt,ct=dt>>>13;r.negative=t.negative^i.negative,r.length=19,e=Math.imul(f,$),n=Math.imul(f,F),n=n+Math.imul(m,$)|0,h=Math.imul(m,F);var vt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(vt>>>26)|0,vt&=67108863,e=Math.imul(p,$),n=Math.imul(p,F),n=n+Math.imul(c,$)|0,h=Math.imul(c,F),e=e+Math.imul(f,C)|0,n=n+Math.imul(f,H)|0,n=n+Math.imul(m,C)|0,h=h+Math.imul(m,H)|0;var Mt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,e=Math.imul(M,$),n=Math.imul(M,F),n=n+Math.imul(g,$)|0,h=Math.imul(g,F),e=e+Math.imul(p,C)|0,n=n+Math.imul(p,H)|0,n=n+Math.imul(c,C)|0,h=h+Math.imul(c,H)|0,e=e+Math.imul(f,D)|0,n=n+Math.imul(f,V)|0,n=n+Math.imul(m,D)|0,h=h+Math.imul(m,V)|0;var gt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(gt>>>26)|0,gt&=67108863,e=Math.imul(y,$),n=Math.imul(y,F),n=n+Math.imul(b,$)|0,h=Math.imul(b,F),e=e+Math.imul(M,C)|0,n=n+Math.imul(M,H)|0,n=n+Math.imul(g,C)|0,h=h+Math.imul(g,H)|0,e=e+Math.imul(p,D)|0,n=n+Math.imul(p,V)|0,n=n+Math.imul(c,D)|0,h=h+Math.imul(c,V)|0,e=e+Math.imul(f,G)|0,n=n+Math.imul(f,Q)|0,n=n+Math.imul(m,G)|0,h=h+Math.imul(m,Q)|0;var wt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(wt>>>26)|0,wt&=67108863,e=Math.imul(x,$),n=Math.imul(x,F),n=n+Math.imul(k,$)|0,h=Math.imul(k,F),e=e+Math.imul(y,C)|0,n=n+Math.imul(y,H)|0,n=n+Math.imul(b,C)|0,h=h+Math.imul(b,H)|0,e=e+Math.imul(M,D)|0,n=n+Math.imul(M,V)|0,n=n+Math.imul(g,D)|0,h=h+Math.imul(g,V)|0,e=e+Math.imul(p,G)|0,n=n+Math.imul(p,Q)|0,n=n+Math.imul(c,G)|0,h=h+Math.imul(c,Q)|0,e=e+Math.imul(f,Y)|0,n=n+Math.imul(f,tt)|0,n=n+Math.imul(m,Y)|0,h=h+Math.imul(m,tt)|0;var yt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(yt>>>26)|0,yt&=67108863,e=Math.imul(S,$),n=Math.imul(S,F),n=n+Math.imul(B,$)|0,h=Math.imul(B,F),e=e+Math.imul(x,C)|0,n=n+Math.imul(x,H)|0,n=n+Math.imul(k,C)|0,h=h+Math.imul(k,H)|0,e=e+Math.imul(y,D)|0,n=n+Math.imul(y,V)|0,n=n+Math.imul(b,D)|0,h=h+Math.imul(b,V)|0,e=e+Math.imul(M,G)|0,n=n+Math.imul(M,Q)|0,n=n+Math.imul(g,G)|0,h=h+Math.imul(g,Q)|0,e=e+Math.imul(p,Y)|0,n=n+Math.imul(p,tt)|0,n=n+Math.imul(c,Y)|0,h=h+Math.imul(c,tt)|0,e=e+Math.imul(f,rt)|0,n=n+Math.imul(f,et)|0,n=n+Math.imul(m,rt)|0,h=h+Math.imul(m,et)|0;var bt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(bt>>>26)|0,bt&=67108863,e=Math.imul(q,$),n=Math.imul(q,F),n=n+Math.imul(N,$)|0,h=Math.imul(N,F),e=e+Math.imul(S,C)|0,n=n+Math.imul(S,H)|0,n=n+Math.imul(B,C)|0,h=h+Math.imul(B,H)|0,e=e+Math.imul(x,D)|0,n=n+Math.imul(x,V)|0,n=n+Math.imul(k,D)|0,h=h+Math.imul(k,V)|0,e=e+Math.imul(y,G)|0,n=n+Math.imul(y,Q)|0,n=n+Math.imul(b,G)|0,h=h+Math.imul(b,Q)|0,e=e+Math.imul(M,Y)|0,n=n+Math.imul(M,tt)|0,n=n+Math.imul(g,Y)|0,h=h+Math.imul(g,tt)|0,e=e+Math.imul(p,rt)|0,n=n+Math.imul(p,et)|0,n=n+Math.imul(c,rt)|0,h=h+Math.imul(c,et)|0,e=e+Math.imul(f,ht)|0,n=n+Math.imul(f,ot)|0,n=n+Math.imul(m,ht)|0,h=h+Math.imul(m,ot)|0;var _t=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(_t>>>26)|0,_t&=67108863,e=Math.imul(L,$),n=Math.imul(L,F),n=n+Math.imul(j,$)|0,h=Math.imul(j,F),e=e+Math.imul(q,C)|0,n=n+Math.imul(q,H)|0,n=n+Math.imul(N,C)|0,h=h+Math.imul(N,H)|0,e=e+Math.imul(S,D)|0,n=n+Math.imul(S,V)|0,n=n+Math.imul(B,D)|0,h=h+Math.imul(B,V)|0,e=e+Math.imul(x,G)|0,n=n+Math.imul(x,Q)|0,n=n+Math.imul(k,G)|0,h=h+Math.imul(k,Q)|0,e=e+Math.imul(y,Y)|0,n=n+Math.imul(y,tt)|0,n=n+Math.imul(b,Y)|0,h=h+Math.imul(b,tt)|0,e=e+Math.imul(M,rt)|0,n=n+Math.imul(M,et)|0,n=n+Math.imul(g,rt)|0,h=h+Math.imul(g,et)|0,e=e+Math.imul(p,ht)|0,n=n+Math.imul(p,ot)|0,n=n+Math.imul(c,ht)|0,h=h+Math.imul(c,ot)|0,e=e+Math.imul(f,ut)|0,n=n+Math.imul(f,at)|0,n=n+Math.imul(m,ut)|0,h=h+Math.imul(m,at)|0;var xt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(xt>>>26)|0,xt&=67108863,e=Math.imul(I,$),n=Math.imul(I,F),n=n+Math.imul(O,$)|0,h=Math.imul(O,F),e=e+Math.imul(L,C)|0,n=n+Math.imul(L,H)|0,n=n+Math.imul(j,C)|0,h=h+Math.imul(j,H)|0,e=e+Math.imul(q,D)|0,n=n+Math.imul(q,V)|0,n=n+Math.imul(N,D)|0,h=h+Math.imul(N,V)|0,e=e+Math.imul(S,G)|0,n=n+Math.imul(S,Q)|0,n=n+Math.imul(B,G)|0,h=h+Math.imul(B,Q)|0,e=e+Math.imul(x,Y)|0,n=n+Math.imul(x,tt)|0,n=n+Math.imul(k,Y)|0,h=h+Math.imul(k,tt)|0,e=e+Math.imul(y,rt)|0,n=n+Math.imul(y,et)|0,n=n+Math.imul(b,rt)|0,h=h+Math.imul(b,et)|0,e=e+Math.imul(M,ht)|0,n=n+Math.imul(M,ot)|0,n=n+Math.imul(g,ht)|0,h=h+Math.imul(g,ot)|0,e=e+Math.imul(p,ut)|0,n=n+Math.imul(p,at)|0,n=n+Math.imul(c,ut)|0,h=h+Math.imul(c,at)|0,e=e+Math.imul(f,ft)|0,n=n+Math.imul(f,mt)|0,n=n+Math.imul(m,ft)|0,h=h+Math.imul(m,mt)|0;var kt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(kt>>>26)|0,kt&=67108863,e=Math.imul(P,$),n=Math.imul(P,F),n=n+Math.imul(z,$)|0,h=Math.imul(z,F),e=e+Math.imul(I,C)|0,n=n+Math.imul(I,H)|0,n=n+Math.imul(O,C)|0,h=h+Math.imul(O,H)|0,e=e+Math.imul(L,D)|0,n=n+Math.imul(L,V)|0,n=n+Math.imul(j,D)|0,h=h+Math.imul(j,V)|0,e=e+Math.imul(q,G)|0,n=n+Math.imul(q,Q)|0,n=n+Math.imul(N,G)|0,h=h+Math.imul(N,Q)|0,e=e+Math.imul(S,Y)|0,n=n+Math.imul(S,tt)|0,n=n+Math.imul(B,Y)|0,h=h+Math.imul(B,tt)|0,e=e+Math.imul(x,rt)|0,n=n+Math.imul(x,et)|0,n=n+Math.imul(k,rt)|0,h=h+Math.imul(k,et)|0,e=e+Math.imul(y,ht)|0,n=n+Math.imul(y,ot)|0,n=n+Math.imul(b,ht)|0,h=h+Math.imul(b,ot)|0,e=e+Math.imul(M,ut)|0,n=n+Math.imul(M,at)|0,n=n+Math.imul(g,ut)|0,h=h+Math.imul(g,at)|0,e=e+Math.imul(p,ft)|0,n=n+Math.imul(p,mt)|0,n=n+Math.imul(c,ft)|0,h=h+Math.imul(c,mt)|0,e=e+Math.imul(f,pt)|0,n=n+Math.imul(f,ct)|0,n=n+Math.imul(m,pt)|0,h=h+Math.imul(m,ct)|0;var At=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(At>>>26)|0,At&=67108863,e=Math.imul(P,C),n=Math.imul(P,H),n=n+Math.imul(z,C)|0,h=Math.imul(z,H),e=e+Math.imul(I,D)|0,n=n+Math.imul(I,V)|0,n=n+Math.imul(O,D)|0,h=h+Math.imul(O,V)|0,e=e+Math.imul(L,G)|0,n=n+Math.imul(L,Q)|0,n=n+Math.imul(j,G)|0,h=h+Math.imul(j,Q)|0,e=e+Math.imul(q,Y)|0,n=n+Math.imul(q,tt)|0,n=n+Math.imul(N,Y)|0,h=h+Math.imul(N,tt)|0,e=e+Math.imul(S,rt)|0,n=n+Math.imul(S,et)|0,n=n+Math.imul(B,rt)|0,h=h+Math.imul(B,et)|0,e=e+Math.imul(x,ht)|0,n=n+Math.imul(x,ot)|0,n=n+Math.imul(k,ht)|0,h=h+Math.imul(k,ot)|0,e=e+Math.imul(y,ut)|0,n=n+Math.imul(y,at)|0,n=n+Math.imul(b,ut)|0,h=h+Math.imul(b,at)|0,e=e+Math.imul(M,ft)|0,n=n+Math.imul(M,mt)|0,n=n+Math.imul(g,ft)|0,h=h+Math.imul(g,mt)|0,e=e+Math.imul(p,pt)|0,n=n+Math.imul(p,ct)|0,n=n+Math.imul(c,pt)|0,h=h+Math.imul(c,ct)|0;var St=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(St>>>26)|0,St&=67108863,e=Math.imul(P,D),n=Math.imul(P,V),n=n+Math.imul(z,D)|0,h=Math.imul(z,V),e=e+Math.imul(I,G)|0,n=n+Math.imul(I,Q)|0,n=n+Math.imul(O,G)|0,h=h+Math.imul(O,Q)|0,e=e+Math.imul(L,Y)|0,n=n+Math.imul(L,tt)|0,n=n+Math.imul(j,Y)|0,h=h+Math.imul(j,tt)|0,e=e+Math.imul(q,rt)|0,n=n+Math.imul(q,et)|0,n=n+Math.imul(N,rt)|0,h=h+Math.imul(N,et)|0,e=e+Math.imul(S,ht)|0,n=n+Math.imul(S,ot)|0,n=n+Math.imul(B,ht)|0,h=h+Math.imul(B,ot)|0,e=e+Math.imul(x,ut)|0,n=n+Math.imul(x,at)|0,n=n+Math.imul(k,ut)|0,h=h+Math.imul(k,at)|0,e=e+Math.imul(y,ft)|0,n=n+Math.imul(y,mt)|0,n=n+Math.imul(b,ft)|0,h=h+Math.imul(b,mt)|0,e=e+Math.imul(M,pt)|0,n=n+Math.imul(M,ct)|0,n=n+Math.imul(g,pt)|0,h=h+Math.imul(g,ct)|0;var Bt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(Bt>>>26)|0,Bt&=67108863,e=Math.imul(P,G),n=Math.imul(P,Q),n=n+Math.imul(z,G)|0,h=Math.imul(z,Q),e=e+Math.imul(I,Y)|0,n=n+Math.imul(I,tt)|0,n=n+Math.imul(O,Y)|0,h=h+Math.imul(O,tt)|0,e=e+Math.imul(L,rt)|0,n=n+Math.imul(L,et)|0,n=n+Math.imul(j,rt)|0,h=h+Math.imul(j,et)|0,e=e+Math.imul(q,ht)|0,n=n+Math.imul(q,ot)|0,n=n+Math.imul(N,ht)|0,h=h+Math.imul(N,ot)|0,e=e+Math.imul(S,ut)|0,n=n+Math.imul(S,at)|0,n=n+Math.imul(B,ut)|0,h=h+Math.imul(B,at)|0,e=e+Math.imul(x,ft)|0,n=n+Math.imul(x,mt)|0,n=n+Math.imul(k,ft)|0,h=h+Math.imul(k,mt)|0,e=e+Math.imul(y,pt)|0,n=n+Math.imul(y,ct)|0,n=n+Math.imul(b,pt)|0,h=h+Math.imul(b,ct)|0;var Rt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,e=Math.imul(P,Y),n=Math.imul(P,tt),n=n+Math.imul(z,Y)|0,h=Math.imul(z,tt),e=e+Math.imul(I,rt)|0,n=n+Math.imul(I,et)|0,n=n+Math.imul(O,rt)|0,h=h+Math.imul(O,et)|0,e=e+Math.imul(L,ht)|0,n=n+Math.imul(L,ot)|0,n=n+Math.imul(j,ht)|0,h=h+Math.imul(j,ot)|0,e=e+Math.imul(q,ut)|0,n=n+Math.imul(q,at)|0,n=n+Math.imul(N,ut)|0,h=h+Math.imul(N,at)|0,e=e+Math.imul(S,ft)|0,n=n+Math.imul(S,mt)|0,n=n+Math.imul(B,ft)|0,h=h+Math.imul(B,mt)|0,e=e+Math.imul(x,pt)|0,n=n+Math.imul(x,ct)|0,n=n+Math.imul(k,pt)|0,h=h+Math.imul(k,ct)|0;var qt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(qt>>>26)|0,qt&=67108863,e=Math.imul(P,rt),n=Math.imul(P,et),n=n+Math.imul(z,rt)|0,h=Math.imul(z,et),e=e+Math.imul(I,ht)|0,n=n+Math.imul(I,ot)|0,n=n+Math.imul(O,ht)|0,h=h+Math.imul(O,ot)|0,e=e+Math.imul(L,ut)|0,n=n+Math.imul(L,at)|0,n=n+Math.imul(j,ut)|0,h=h+Math.imul(j,at)|0,e=e+Math.imul(q,ft)|0,n=n+Math.imul(q,mt)|0,n=n+Math.imul(N,ft)|0,h=h+Math.imul(N,mt)|0,e=e+Math.imul(S,pt)|0,n=n+Math.imul(S,ct)|0,n=n+Math.imul(B,pt)|0,h=h+Math.imul(B,ct)|0;var Nt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(Nt>>>26)|0,Nt&=67108863,e=Math.imul(P,ht),n=Math.imul(P,ot),n=n+Math.imul(z,ht)|0,h=Math.imul(z,ot),e=e+Math.imul(I,ut)|0,n=n+Math.imul(I,at)|0,n=n+Math.imul(O,ut)|0,h=h+Math.imul(O,at)|0,e=e+Math.imul(L,ft)|0,n=n+Math.imul(L,mt)|0,n=n+Math.imul(j,ft)|0,h=h+Math.imul(j,mt)|0,e=e+Math.imul(q,pt)|0,n=n+Math.imul(q,ct)|0,n=n+Math.imul(N,pt)|0,h=h+Math.imul(N,ct)|0;var Zt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(Zt>>>26)|0,Zt&=67108863,e=Math.imul(P,ut),n=Math.imul(P,at),n=n+Math.imul(z,ut)|0,h=Math.imul(z,at),e=e+Math.imul(I,ft)|0,n=n+Math.imul(I,mt)|0,n=n+Math.imul(O,ft)|0,h=h+Math.imul(O,mt)|0,e=e+Math.imul(L,pt)|0,n=n+Math.imul(L,ct)|0,n=n+Math.imul(j,pt)|0,h=h+Math.imul(j,ct)|0;var Lt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(Lt>>>26)|0,Lt&=67108863,e=Math.imul(P,ft),n=Math.imul(P,mt),n=n+Math.imul(z,ft)|0,h=Math.imul(z,mt),e=e+Math.imul(I,pt)|0,n=n+Math.imul(I,ct)|0,n=n+Math.imul(O,pt)|0,h=h+Math.imul(O,ct)|0;var jt=(a+e|0)+((8191&n)<<13)|0;a=(h+(n>>>13)|0)+(jt>>>26)|0,jt&=67108863,e=Math.imul(P,pt),n=Math.imul(P,ct),n=n+Math.imul(z,pt)|0,h=Math.imul(z,ct);var Et=(a+e|0)+((8191&n)<<13)|0;return a=(h+(n>>>13)|0)+(Et>>>26)|0,Et&=67108863,u[0]=vt,u[1]=Mt,u[2]=gt,u[3]=wt,u[4]=yt,u[5]=bt,u[6]=_t,u[7]=xt,u[8]=kt,u[9]=At,u[10]=St,u[11]=Bt,u[12]=Rt,u[13]=qt,u[14]=Nt,u[15]=Zt,u[16]=Lt,u[17]=jt,u[18]=Et,0!==a&&(u[19]=a,r.length++),r};Math.imul||(R=m),h.prototype.mulTo=function(t,i){var r=this.length+t.length;return 10===this.length&&10===t.length?R(this,t,i):63>r?m(this,t,i):1024>r?d(this,t,i):p(this,t,i)},c.prototype.makeRBT=function(t){for(var i=Array(t),r=h.prototype._countBits(t)-1,e=0;t>e;e++)i[e]=this.revBin(e,r,t);return i},c.prototype.revBin=function(t,i,r){if(0===t||t===r-1)return t;for(var e=0,n=0;i>n;n++)e|=(1&t)<>=1;return e},c.prototype.permute=function(t,i,r,e,n,h){for(var o=0;h>o;o++)e[o]=i[t[o]],n[o]=r[t[o]]},c.prototype.transform=function(t,i,r,e,n,h){this.permute(h,t,i,r,e,n);for(var o=1;n>o;o<<=1)for(var s=o<<1,u=Math.cos(2*Math.PI/s),a=Math.sin(2*Math.PI/s),l=0;n>l;l+=s)for(var f=u,m=a,d=0;o>d;d++){var p=r[l+d],c=e[l+d],v=r[l+d+o],M=e[l+d+o],g=f*v-m*M;M=f*M+m*v,v=g,r[l+d]=p+v,e[l+d]=c+M,r[l+d+o]=p-v,e[l+d+o]=c-M,d!==s&&(g=u*f-a*m,m=u*m+a*f,f=g)}},c.prototype.guessLen13b=function(t,i){var r=1|Math.max(i,t),e=1&r,n=0;for(r=r/2|0;r;r>>>=1)n++;return 1<1)for(var e=0;r/2>e;e++){var n=t[e];t[e]=t[r-e-1],t[r-e-1]=n,n=i[e],i[e]=-i[r-e-1],i[r-e-1]=-n}},c.prototype.normalize13b=function(t,i){for(var r=0,e=0;i/2>e;e++){var n=8192*Math.round(t[2*e+1]/i)+Math.round(t[2*e]/i)+r;t[e]=67108863&n,r=67108864>n?0:n/67108864|0}return t},c.prototype.convert13b=function(t,i,r,n){for(var h=0,o=0;i>o;o++)h+=0|t[o],r[2*o]=8191&h,h>>>=13,r[2*o+1]=8191&h,h>>>=13;for(o=2*i;n>o;++o)r[o]=0;e(0===h),e(0==(-8192&h))},c.prototype.stub=function(t){for(var i=Array(t),r=0;t>r;r++)i[r]=0;return i},c.prototype.mulp=function(t,i,r){var e=2*this.guessLen13b(t.length,i.length),n=this.makeRBT(e),h=this.stub(e),o=Array(e),s=Array(e),u=Array(e),a=Array(e),l=Array(e),f=Array(e),m=r.words;m.length=e,this.convert13b(t.words,t.length,o,e),this.convert13b(i.words,i.length,a,e),this.transform(o,h,s,u,e,n),this.transform(a,h,l,f,e,n);for(var d=0;e>d;d++){var p=s[d]*l[d]-u[d]*f[d];u[d]=s[d]*f[d]+u[d]*l[d],s[d]=p}return this.conjugate(s,u,e),this.transform(s,u,m,h,e,n),this.conjugate(m,h,e),this.normalize13b(m,e),r.negative=t.negative^i.negative,r.length=t.length+i.length,r._strip()},h.prototype.mul=function(t){var i=new h(null);return i.words=Array(this.length+t.length),this.mulTo(t,i)},h.prototype.mulf=function(t){var i=new h(null);return i.words=Array(this.length+t.length),p(this,t,i)},h.prototype.imul=function(t){return this.clone().mulTo(t,this)},h.prototype.imuln=function(t){var i=0>t;i&&(t=-t),e("number"==typeof t),e(67108864>t);for(var r=0,n=0;this.length>n;n++){var h=(0|this.words[n])*t,o=(67108863&h)+(67108863&r);r>>=26,r+=h/67108864|0,r+=o>>>26,this.words[n]=67108863&o}return 0!==r&&(this.words[n]=r,this.length++),i?this.ineg():this},h.prototype.muln=function(t){return this.clone().imuln(t)},h.prototype.sqr=function(){return this.mul(this)},h.prototype.isqr=function(){return this.imul(this.clone())},h.prototype.pow=function(t){var i=f(t);if(0===i.length)return new h(1);for(var r=this,e=0;i.length>e&&0===i[e];e++,r=r.sqr());if(++ee;e++,n=n.sqr())0!==i[e]&&(r=r.mul(n));return r},h.prototype.iushln=function(t){e("number"==typeof t&&t>=0);var i,r=t%26,n=(t-r)/26,h=67108863>>>26-r<<26-r;if(0!==r){var o=0;for(i=0;this.length>i;i++){var s=this.words[i]&h;this.words[i]=(0|this.words[i])-s<>>26-r}o&&(this.words[i]=o,this.length++)}if(0!==n){for(i=this.length-1;i>=0;i--)this.words[i+n]=this.words[i];for(i=0;n>i;i++)this.words[i]=0;this.length+=n}return this._strip()},h.prototype.ishln=function(t){return e(0===this.negative),this.iushln(t)},h.prototype.iushrn=function(t,i,r){e("number"==typeof t&&t>=0);var n;n=i?(i-i%26)/26:0;var h=t%26,o=Math.min((t-h)/26,this.length),s=67108863^67108863>>>h<a;a++)u.words[a]=this.words[a];u.length=o}if(0===o);else if(this.length>o)for(this.length-=o,a=0;this.length>a;a++)this.words[a]=this.words[a+o];else this.words[0]=0,this.length=1;var l=0;for(a=this.length-1;!(0>a||0===l&&n>a);a--){var f=0|this.words[a];this.words[a]=l<<26-h|f>>>h,l=f&s}return u&&0!==l&&(u.words[u.length++]=l),0===this.length&&(this.words[0]=0,this.length=1),this._strip()},h.prototype.ishrn=function(t,i,r){return e(0===this.negative),this.iushrn(t,i,r)},h.prototype.shln=function(t){return this.clone().ishln(t)},h.prototype.ushln=function(t){return this.clone().iushln(t)},h.prototype.shrn=function(t){return this.clone().ishrn(t)},h.prototype.ushrn=function(t){return this.clone().iushrn(t)},h.prototype.testn=function(t){e("number"==typeof t&&t>=0);var i=t%26,r=(t-i)/26,n=1<r&&!!(this.words[r]&n)},h.prototype.imaskn=function(t){e("number"==typeof t&&t>=0);var i=t%26,r=(t-i)/26;if(e(0===this.negative,"imaskn works only with positive numbers"),r>=this.length)return this;if(0!==i&&r++,this.length=Math.min(r,this.length),0!==i){this.words[this.length-1]&=67108863^67108863>>>i<t),0>t?this.isubn(-t):0!==this.negative?1!==this.length||(0|this.words[0])>t?(this.negative=0,this.isubn(t),this.negative=1,this):(this.words[0]=t-(0|this.words[0]),this.negative=0,this):this._iaddn(t)},h.prototype._iaddn=function(t){this.words[0]+=t;for(var i=0;this.length>i&&this.words[i]>=67108864;i++)this.words[i]-=67108864,i===this.length-1?this.words[i+1]=1:this.words[i+1]++;return this.length=Math.max(this.length,i+1),this},h.prototype.isubn=function(t){if(e("number"==typeof t),e(67108864>t),0>t)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&0>this.words[0])this.words[0]=-this.words[0],this.negative=1;else for(var i=0;this.length>i&&0>this.words[i];i++)this.words[i]+=67108864,this.words[i+1]-=1;return this._strip()},h.prototype.addn=function(t){return this.clone().iaddn(t)},h.prototype.subn=function(t){return this.clone().isubn(t)},h.prototype.iabs=function(){return this.negative=0,this},h.prototype.abs=function(){return this.clone().iabs()},h.prototype._ishlnsubmul=function(t,i,r){var n,h=t.length+r;this._expand(h);var o,s=0;for(n=0;t.length>n;n++){o=(0|this.words[n+r])+s;var u=(0|t.words[n])*i;o-=67108863&u,s=(o>>26)-(u/67108864|0),this.words[n+r]=67108863&o}for(;this.length-r>n;n++)o=(0|this.words[n+r])+s,s=o>>26,this.words[n+r]=67108863&o;if(0===s)return this._strip();for(e(-1===s),s=0,n=0;this.length>n;n++)o=-(0|this.words[n])+s,s=o>>26,this.words[n]=67108863&o;return this.negative=1,this._strip()},h.prototype._wordDiv=function(t,i){var r=this.length-t.length,e=this.clone(),n=t,o=0|n.words[n.length-1];0!==(r=26-this._countBits(o))&&(n=n.ushln(r),e.iushln(r),o=0|n.words[n.length-1]);var s,u=e.length-n.length;if("mod"!==i){s=new h(null),s.length=u+1,s.words=Array(s.length);for(var a=0;s.length>a;a++)s.words[a]=0}var l=e.clone()._ishlnsubmul(n,1,u);0===l.negative&&(e=l,s&&(s.words[u]=1));for(var f=u-1;f>=0;f--){var m=67108864*(0|e.words[n.length+f])+(0|e.words[n.length+f-1]);for(m=Math.min(m/o|0,67108863),e._ishlnsubmul(n,m,f);0!==e.negative;)m--,e.negative=0,e._ishlnsubmul(n,1,f),e.isZero()||(e.negative^=1);s&&(s.words[f]=m)}return s&&s._strip(),e._strip(),"div"!==i&&0!==r&&e.iushrn(r),{div:s||null,mod:e}},h.prototype.divmod=function(t,i,r){if(e(!t.isZero()),this.isZero())return{div:new h(0),mod:new h(0)};var n,o,s;return 0!==this.negative&&0===t.negative?(s=this.neg().divmod(t,i),"mod"!==i&&(n=s.div.neg()),"div"!==i&&(o=s.mod.neg(),r&&0!==o.negative&&o.iadd(t)),{div:n,mod:o}):0===this.negative&&0!==t.negative?(s=this.divmod(t.neg(),i),"mod"!==i&&(n=s.div.neg()),{div:n,mod:s.mod}):0!=(this.negative&t.negative)?(s=this.neg().divmod(t.neg(),i),"div"!==i&&(o=s.mod.neg(),r&&0!==o.negative&&o.isub(t)),{div:s.div,mod:o}):t.length>this.length||0>this.cmp(t)?{div:new h(0),mod:this}:1===t.length?"div"===i?{div:this.divn(t.words[0]),mod:null}:"mod"===i?{div:null,mod:new h(this.modrn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new h(this.modrn(t.words[0]))}:this._wordDiv(t,i)},h.prototype.div=function(t){return this.divmod(t,"div",!1).div},h.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},h.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},h.prototype.divRound=function(t){var i=this.divmod(t);if(i.mod.isZero())return i.div;var r=0!==i.div.negative?i.mod.isub(t):i.mod,e=t.ushrn(1),n=t.andln(1),h=r.cmp(e);return 0>h||1===n&&0===h?i.div:0!==i.div.negative?i.div.isubn(1):i.div.iaddn(1)},h.prototype.modrn=function(t){var i=0>t;i&&(t=-t),e(67108863>=t);for(var r=(1<<26)%t,n=0,h=this.length-1;h>=0;h--)n=(r*n+(0|this.words[h]))%t;return i?-n:n},h.prototype.modn=function(t){return this.modrn(t)},h.prototype.idivn=function(t){var i=0>t;i&&(t=-t),e(67108863>=t);for(var r=0,n=this.length-1;n>=0;n--){var h=(0|this.words[n])+67108864*r;this.words[n]=h/t|0,r=h%t}return this._strip(),i?this.ineg():this},h.prototype.divn=function(t){return this.clone().idivn(t)},h.prototype.egcd=function(t){e(0===t.negative),e(!t.isZero());var i=this,r=t.clone();i=0!==i.negative?i.umod(t):i.clone();for(var n=new h(1),o=new h(0),s=new h(0),u=new h(1),a=0;i.isEven()&&r.isEven();)i.iushrn(1),r.iushrn(1),++a;for(var l=r.clone(),f=i.clone();!i.isZero();){for(var m=0,d=1;0==(i.words[0]&d)&&26>m;++m,d<<=1);if(m>0)for(i.iushrn(m);m-- >0;)(n.isOdd()||o.isOdd())&&(n.iadd(l),o.isub(f)),n.iushrn(1),o.iushrn(1);for(var p=0,c=1;0==(r.words[0]&c)&&26>p;++p,c<<=1);if(p>0)for(r.iushrn(p);p-- >0;)(s.isOdd()||u.isOdd())&&(s.iadd(l),u.isub(f)),s.iushrn(1),u.iushrn(1);0>i.cmp(r)?(r.isub(i),s.isub(n),u.isub(o)):(i.isub(r),n.isub(s),o.isub(u))}return{a:s,b:u,gcd:r.iushln(a)}},h.prototype._invmp=function(t){e(0===t.negative),e(!t.isZero());var i=this,r=t.clone();i=0!==i.negative?i.umod(t):i.clone();for(var n=new h(1),o=new h(0),s=r.clone();i.cmpn(1)>0&&r.cmpn(1)>0;){for(var u=0,a=1;0==(i.words[0]&a)&&26>u;++u,a<<=1);if(u>0)for(i.iushrn(u);u-- >0;)n.isOdd()&&n.iadd(s),n.iushrn(1);for(var l=0,f=1;0==(r.words[0]&f)&&26>l;++l,f<<=1);if(l>0)for(r.iushrn(l);l-- >0;)o.isOdd()&&o.iadd(s),o.iushrn(1);0>i.cmp(r)?(r.isub(i),o.isub(n)):(i.isub(r),n.isub(o))}var m;return m=0===i.cmpn(1)?n:o,0>m.cmpn(0)&&m.iadd(t),m},h.prototype.gcd=function(t){if(this.isZero())return t.abs();if(t.isZero())return this.abs();var i=this.clone(),r=t.clone();i.negative=0,r.negative=0;for(var e=0;i.isEven()&&r.isEven();e++)i.iushrn(1),r.iushrn(1);for(;;){for(;i.isEven();)i.iushrn(1);for(;r.isEven();)r.iushrn(1);var n=i.cmp(r);if(0>n){var h=i;i=r,r=h}else if(0===n||0===r.cmpn(1))break;i.isub(r)}return r.iushln(e)},h.prototype.invm=function(t){return this.egcd(t).a.umod(t)},h.prototype.isEven=function(){return 0==(1&this.words[0])},h.prototype.isOdd=function(){return 1==(1&this.words[0])},h.prototype.andln=function(t){return this.words[0]&t},h.prototype.bincn=function(t){e("number"==typeof t);var i=t%26,r=(t-i)/26,n=1<=this.length)return this._expand(r+1),this.words[r]|=n,this;for(var h=n,o=r;0!==h&&this.length>o;o++){var s=0|this.words[o];s+=h,h=s>>>26,s&=67108863,this.words[o]=s}return 0!==h&&(this.words[o]=h,this.length++),this},h.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},h.prototype.cmpn=function(t){var i=0>t;if(0!==this.negative&&!i)return-1;if(0===this.negative&&i)return 1;this._strip();var r;if(this.length>1)r=1;else{i&&(t=-t),e(67108863>=t,"Number is too big");var n=0|this.words[0];r=n===t?0:t>n?-1:1}return 0!==this.negative?0|-r:r},h.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var i=this.ucmp(t);return 0!==this.negative?0|-i:i},h.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(t.length>this.length)return-1;for(var i=0,r=this.length-1;r>=0;r--){var e=0|this.words[r],n=0|t.words[r];if(e!==n){n>e?i=-1:e>n&&(i=1);break}}return i},h.prototype.gtn=function(t){return 1===this.cmpn(t)},h.prototype.gt=function(t){return 1===this.cmp(t)},h.prototype.gten=function(t){return this.cmpn(t)>=0},h.prototype.gte=function(t){return this.cmp(t)>=0},h.prototype.ltn=function(t){return-1===this.cmpn(t)},h.prototype.lt=function(t){return-1===this.cmp(t)},h.prototype.lten=function(t){return 0>=this.cmpn(t)},h.prototype.lte=function(t){return 0>=this.cmp(t)},h.prototype.eqn=function(t){return 0===this.cmpn(t)},h.prototype.eq=function(t){return 0===this.cmp(t)},h.red=function(t){return new b(t)},h.prototype.toRed=function(t){return e(!this.red,"Already a number in reduction context"),e(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},h.prototype.fromRed=function(){return e(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},h.prototype._forceRed=function(t){return this.red=t,this},h.prototype.forceRed=function(t){return e(!this.red,"Already a number in reduction context"),this._forceRed(t)},h.prototype.redAdd=function(t){return e(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},h.prototype.redIAdd=function(t){return e(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},h.prototype.redSub=function(t){return e(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},h.prototype.redISub=function(t){return e(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},h.prototype.redShl=function(t){return e(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},h.prototype.redMul=function(t){return e(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},h.prototype.redIMul=function(t){return e(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},h.prototype.redSqr=function(){return e(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},h.prototype.redISqr=function(){return e(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},h.prototype.redSqrt=function(){return e(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},h.prototype.redInvm=function(){return e(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},h.prototype.redNeg=function(){return e(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},h.prototype.redPow=function(t){return e(this.red&&!t.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,t)};var q={k256:null,p224:null,p192:null,p25519:null};v.prototype._tmp=function(){var t=new h(null);return t.words=Array(Math.ceil(this.n/13)),t},v.prototype.ireduce=function(t){var i,r=t;do{this.split(r,this.tmp),r=this.imulK(r),r=r.iadd(this.tmp),i=r.bitLength()}while(i>this.n);var e=this.n>i?-1:r.ucmp(this.p);return 0===e?(r.words[0]=0,r.length=1):e>0?r.isub(this.p):r.strip!==undefined?r.strip():r._strip(),r},v.prototype.split=function(t,i){t.iushrn(this.n,0,i)},v.prototype.imulK=function(t){return t.imul(this.k)},n(M,v),M.prototype.split=function(t,i){for(var r=Math.min(t.length,9),e=0;r>e;e++)i.words[e]=t.words[e];if(i.length=r,9>=t.length)return t.words[0]=0,void(t.length=1);var n=t.words[9];for(i.words[i.length++]=4194303&n,e=10;t.length>e;e++){var h=0|t.words[e];t.words[e-10]=(4194303&h)<<4|n>>>22,n=h}n>>>=22,t.words[e-10]=n,t.length-=0===n&&t.length>10?10:9},M.prototype.imulK=function(t){t.words[t.length]=0,t.words[t.length+1]=0,t.length+=2;for(var i=0,r=0;t.length>r;r++){var e=0|t.words[r];i+=977*e,t.words[r]=67108863&i,i=64*e+(i/67108864|0)}return 0===t.words[t.length-1]&&(t.length--,0===t.words[t.length-1]&&t.length--),t},n(g,v),n(w,v),n(y,v),y.prototype.imulK=function(t){for(var i=0,r=0;t.length>r;r++){var e=19*(0|t.words[r])+i,n=67108863&e;e>>>=26,t.words[r]=n,i=e}return 0!==i&&(t.words[t.length++]=i),t},h._prime=function(t){if(q[t])return q[t];var i;if("k256"===t)i=new M;else if("p224"===t)i=new g;else if("p192"===t)i=new w;else{if("p25519"!==t)throw Error("Unknown prime "+t);i=new y}return q[t]=i,i},b.prototype._verify1=function(t){e(0===t.negative,"red works only with positives"),e(t.red,"red works only with red numbers")},b.prototype._verify2=function(t,i){e(0==(t.negative|i.negative),"red works only with positives"),e(t.red&&t.red===i.red,"red works only with red numbers")},b.prototype.imod=function(t){return this.prime?this.prime.ireduce(t)._forceRed(this):(a(t,t.umod(this.m)._forceRed(this)),t)},b.prototype.neg=function(t){return t.isZero()?t.clone():this.m.sub(t)._forceRed(this)},b.prototype.add=function(t,i){this._verify2(t,i);var r=t.add(i);return 0>r.cmp(this.m)||r.isub(this.m),r._forceRed(this)},b.prototype.iadd=function(t,i){this._verify2(t,i);var r=t.iadd(i);return 0>r.cmp(this.m)||r.isub(this.m),r},b.prototype.sub=function(t,i){this._verify2(t,i);var r=t.sub(i);return 0>r.cmpn(0)&&r.iadd(this.m),r._forceRed(this)},b.prototype.isub=function(t,i){this._verify2(t,i);var r=t.isub(i);return 0>r.cmpn(0)&&r.iadd(this.m),r},b.prototype.shl=function(t,i){return this._verify1(t),this.imod(t.ushln(i))},b.prototype.imul=function(t,i){return this._verify2(t,i),this.imod(t.imul(i))},b.prototype.mul=function(t,i){return this._verify2(t,i),this.imod(t.mul(i))},b.prototype.isqr=function(t){return this.imul(t,t.clone())},b.prototype.sqr=function(t){return this.mul(t,t)},b.prototype.sqrt=function(t){if(t.isZero())return t.clone();var i=this.m.andln(3);if(e(i%2==1),3===i){return this.pow(t,this.m.add(new h(1)).iushrn(2))}for(var r=this.m.subn(1),n=0;!r.isZero()&&0===r.andln(1);)n++,r.iushrn(1);e(!r.isZero());var o=new h(1).toRed(this),s=o.redNeg(),u=this.m.subn(1).iushrn(1),a=this.m.bitLength();for(a=new h(2*a*a).toRed(this);0!==this.pow(a,u).cmp(s);)a.redIAdd(s);for(var l=this.pow(a,r),f=this.pow(t,r.addn(1).iushrn(1)),m=this.pow(t,r),d=n;0!==m.cmp(o);){for(var p=m,c=0;0!==p.cmp(o);c++)p=p.redSqr();e(d>c);var v=this.pow(l,new h(1).iushln(d-c-1));f=f.redMul(v),l=v.redSqr(),m=m.redMul(l),d=c}return f},b.prototype.invm=function(t){var i=t._invmp(this.m);return 0!==i.negative?(i.negative=0,this.imod(i).redNeg()):this.imod(i)},b.prototype.pow=function(t,i){if(i.isZero())return new h(1).toRed(this);if(0===i.cmpn(1))return t.clone();var r=Array(16);r[0]=new h(1).toRed(this),r[1]=t;for(var e=2;r.length>e;e++)r[e]=this.mul(r[e-1],t);var n=r[0],o=0,s=0,u=i.bitLength()%26;for(0===u&&(u=26),e=i.length-1;e>=0;e--){for(var a=i.words[e],l=u-1;l>=0;l--){var f=a>>l&1;n!==r[0]&&(n=this.sqr(n)),0!==f||0!==o?(o<<=1,o|=f,(4===++s||0===e&&0===l)&&(n=this.mul(n,r[o]),s=0,o=0)):s=0}u=26}return n},b.prototype.convertTo=function(t){var i=t.umod(this.m);return i===t?i.clone():i},b.prototype.convertFrom=function(t){var i=t.clone();return i.red=null,i},h.mont=function(t){return new _(t)},n(_,b),_.prototype.convertTo=function(t){return this.imod(t.ushln(this.shift))},_.prototype.convertFrom=function(t){var i=this.imod(t.mul(this.rinv));return i.red=null,i},_.prototype.imul=function(t,i){if(t.isZero()||i.isZero())return t.words[0]=0,t.length=1,t;var r=t.imul(i),e=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),n=r.isub(e).iushrn(this.shift),h=n;return 0>n.cmp(this.m)?0>n.cmpn(0)&&(h=n.iadd(this.m)):h=n.isub(this.m),h._forceRed(this)},_.prototype.mul=function(t,i){if(t.isZero()||i.isZero())return new h(0)._forceRed(this);var r=t.mul(i),e=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),n=r.isub(e).iushrn(this.shift),o=n;return 0>n.cmp(this.m)?0>n.cmpn(0)&&(o=n.iadd(this.m)):o=n.isub(this.m),o._forceRed(this)},_.prototype.invm=function(t){return this.imod(t._invmp(this.m).mul(this.r2))._forceRed(this)}}(void 0===t||t,this)}).call(i,r(2)(t))},function(t,i,r){"use strict";function e(t){var i=t?t.toLowerCase():"ether",r=f[i];if("string"!=typeof r)throw Error("[ethjs-unit] the unit provided "+t+" doesn't exists, please use the one of the following units "+JSON.stringify(f,null,2));return new s(r,10)}function n(t){if("string"==typeof t){if(!t.match(/^-?[0-9.]+$/))throw Error("while converting number to string, invalid number value '"+t+"', should be a number matching (^-?[0-9.]+).");return t}if("number"==typeof t)return t+"";if("object"==typeof t&&t.toString&&(t.toTwos||t.dividedToIntegerBy))return t.toPrecision?t.toPrecision()+"":t.toString(10);throw Error("while converting number to string, invalid number value '"+t+"' type "+typeof t+".")}function h(t,i,r){var n=u(t),h=n.lt(a),o=e(i),s=f[i].length-1||1,m=r||{};h&&(n=n.mul(l));for(var d=n.mod(o).toString(10);s>d.length;)d="0"+d;m.pad||(d=d.match(/^([0-9]*[1-9]|0)(0*)/)[1]);var p=n.div(o).toString(10);m.commify&&(p=p.replace(/\B(?=(\d{3})+(?!\d))/g,","));var c=p+("0"==d?"":"."+d);return h&&(c="-"+c),c}function o(t,i){var r=n(t),h=e(i),o=f[i].length-1||1,u="-"===r.substring(0,1);if(u&&(r=r.substring(1)),"."===r)throw Error("[ethjs-unit] while converting number "+t+" to wei, invalid value");var a=r.split(".");if(a.length>2)throw Error("[ethjs-unit] while converting number "+t+" to wei, too many decimal points");var m=a[0],d=a[1];if(m||(m="0"),d||(d="0"),d.length>o)throw Error("[ethjs-unit] while converting number "+t+" to wei, too many decimal places");for(;o>d.length;)d+="0";m=new s(m),d=new s(d);var p=m.mul(h).add(d);return u&&(p=p.mul(l)),new s(p.toString(10),10)}var s=r(0),u=r(4),a=new s(0),l=new s(-1),f={noether:"0",wei:"1",kwei:"1000",Kwei:"1000",babbage:"1000",femtoether:"1000",mwei:"1000000",Mwei:"1000000",lovelace:"1000000",picoether:"1000000",gwei:"1000000000",Gwei:"1000000000",shannon:"1000000000",nanoether:"1000000000",nano:"1000000000",szabo:"1000000000000",microether:"1000000000000",micro:"1000000000000",finney:"1000000000000000",milliether:"1000000000000000",milli:"1000000000000000",ether:"1000000000000000000",kether:"1000000000000000000000",grand:"1000000000000000000000",mether:"1000000000000000000000000",gether:"1000000000000000000000000000",tether:"1000000000000000000000000000000"};t.exports={unitMap:f,numberToString:n,getValueOfUnit:e,fromWei:h,toWei:o}},function(t,i){t.exports=function(t){return t.webpackPolyfill||(t.deprecate=function(){},t.paths=[],t.children||(t.children=[]),Object.defineProperty(t,"loaded",{enumerable:!0,get:function(){return t.l}}),Object.defineProperty(t,"id",{enumerable:!0,get:function(){return t.i}}),t.webpackPolyfill=1),t}},function(t,i){},function(t,i,r){var e=r(0),n=r(5);t.exports=function(t){if("string"==typeof t||"number"==typeof t){var i=new e(1),r=(t+"").toLowerCase().trim(),h="0x"===r.substr(0,2)||"-0x"===r.substr(0,3),o=n(r);if("-"===o.substr(0,1)&&(o=n(o.slice(1)),i=new e(-1,10)),o=""===o?"0":o,!o.match(/^-?[0-9]+$/)&&o.match(/^[0-9A-Fa-f]+$/)||o.match(/^[a-fA-F]+$/)||!0===h&&o.match(/^[0-9A-Fa-f]+$/))return new e(o,16).mul(i);if((o.match(/^-?[0-9]+$/)||""===o)&&!1===h)return new e(o,10).mul(i)}else if("object"==typeof t&&t.toString&&!t.pop&&!t.push&&t.toString(10).match(/^-?[0-9]+$/)&&(t.mul||t.dividedToIntegerBy))return new e(t.toString(10),10);throw Error("[number-to-bn] while converting number "+JSON.stringify(t)+" to BN.js instance, error: invalid number value. Value must be an integer, hex string, BN or BigNumber instance. Note, decimals are not supported.")}},function(t,i,r){var e=r(6);t.exports=function(t){return"string"!=typeof t?t:e(t)?t.slice(2):t}},function(t,i){t.exports=function(t){if("string"!=typeof t)throw Error("[is-hex-prefixed] value must be type 'string', is currently type "+typeof t+", while checking isHexPrefixed.");return"0x"===t.slice(0,2)}}])}); \ No newline at end of file +!function(e,t){"object"==typeof exports&&"object"==typeof module?module.exports=t():"function"==typeof define&&define.amd?define("ethUnit",[],t):"object"==typeof exports?exports.ethUnit=t():e.ethUnit=t()}("undefined"!=typeof self?self:this,function(){return function(e){function t(r){if(n[r])return n[r].exports;var i=n[r]={i:r,l:!1,exports:{}};return e[r].call(i.exports,i,i.exports,t),i.l=!0,i.exports}var n={};return t.m=e,t.c=n,t.d=function(e,n,r){t.o(e,n)||Object.defineProperty(e,n,{configurable:!1,enumerable:!0,get:r})},t.n=function(e){var n=e&&e.__esModule?function(){return e["default"]}:function(){return e};return t.d(n,"a",n),n},t.o=function(e,t){return Object.prototype.hasOwnProperty.call(e,t)},t.p="",t(t.s=0)}([function(e,t,n){"use strict";function r(e){if("string"==typeof e)return BigInt(e);if("number"==typeof e)return BigInt(e);if("bigint"==typeof e)return e;if("object"==typeof e&&null!==e&&"function"==typeof e.toString)return BigInt(""+e);throw Error("Cannot convert "+typeof e+" to BigInt")}function i(e){var t=e?e.toLowerCase():"ether",n=c[t];if("string"!=typeof n)throw Error("[ethjs-unit] the unit provided "+e+" doesn't exists, please use the one of the following units "+JSON.stringify(c,null,2));return BigInt(n)}function o(e){if("string"==typeof e){if(!e.match(/^-?[0-9.]+$/))throw Error("while converting number to string, invalid number value '"+e+"', should be a number matching (^-?[0-9.]+).");return e}if("number"==typeof e)return e+"";if("bigint"==typeof e)return""+e;if("object"==typeof e&&e.toString&&(e.toTwos||e.dividedToIntegerBy))return e.toPrecision?e.toPrecision()+"":e.toString(10);throw Error("while converting number to string, invalid number value '"+e+"' type "+typeof e+".")}function u(e,t,n){var o=r(e),u=a>o,f=i(t),s=c[t].length-1||1,h=n||{};u&&(o*=l);for(var g=""+o%f;s>g.length;)g="0"+g;h.pad||(g=g.match(/^([0-9]*[1-9]|0)(0*)/)[1]);var p=""+o/f;h.commify&&(p=p.replace(/\B(?=(\d{3})+(?!\d))/g,","));var m=p+("0"==g?"":"."+g);return u&&(m="-"+m),m}function f(e,t){var n=o(e),r=i(t),u=c[t].length-1||1,f="-"===n.substring(0,1);if(f&&(n=n.substring(1)),"."===n)throw Error("[ethjs-unit] while converting number "+e+" to wei, invalid value");var a=n.split(".");if(a.length>2)throw Error("[ethjs-unit] while converting number "+e+" to wei, too many decimal points");var s=a[0],h=a[1];if(s||(s="0"),h||(h="0"),h.length>u)throw Error("[ethjs-unit] while converting number "+e+" to wei, too many decimal places");for(;u>h.length;)h+="0";s=BigInt(s),h=BigInt(h);var g=s*r+h;return f&&(g*=l),g}var a=BigInt(0),l=BigInt(-1),c={noether:"0",wei:"1",kwei:"1000",Kwei:"1000",babbage:"1000",femtoether:"1000",mwei:"1000000",Mwei:"1000000",lovelace:"1000000",picoether:"1000000",gwei:"1000000000",Gwei:"1000000000",shannon:"1000000000",nanoether:"1000000000",nano:"1000000000",szabo:"1000000000000",microether:"1000000000000",micro:"1000000000000",finney:"1000000000000000",milliether:"1000000000000000",milli:"1000000000000000",ether:"1000000000000000000",kether:"1000000000000000000000",grand:"1000000000000000000000",mether:"1000000000000000000000000",gether:"1000000000000000000000000000",tether:"1000000000000000000000000000000"};e.exports={unitMap:c,numberToString:o,getValueOfUnit:i,fromWei:u,toWei:f}}])}); \ No newline at end of file diff --git a/package-lock.json b/package-lock.json index 32fb242..8037228 100644 --- a/package-lock.json +++ b/package-lock.json @@ -1,6 +1,6 @@ { "name": "@metamask/ethjs-unit", - "version": "0.3.0", + "version": "1.0.0", "lockfileVersion": 1, "requires": true, "dependencies": { @@ -732,15 +732,6 @@ "@jridgewell/sourcemap-codec": "^1.4.14" } }, - "@metamask/number-to-bn": { - "version": "1.7.1", - "resolved": "https://registry.npmjs.org/@metamask/number-to-bn/-/number-to-bn-1.7.1.tgz", - "integrity": "sha512-qCN+Au4amvcVii2LdOJNndYhdmk5Lk9tlStJhKpZ8tGeYQDJTghqYXJuSUVPHvfl6FUfKY1i1Or2j2EbnEerSQ==", - "requires": { - "bn.js": "5.2.1", - "strip-hex-prefix": "1.0.0" - } - }, "@nicolo-ribaudo/chokidar-2": { "version": "2.1.8-no-fsevents.3", "resolved": "https://registry.npmjs.org/@nicolo-ribaudo/chokidar-2/-/chokidar-2-2.1.8-no-fsevents.3.tgz", @@ -1871,12 +1862,6 @@ "integrity": "sha512-vyL2OymJxmarO8gxMr0mhChsO9QGwhynfuu4+MHTAW6czfq9humCB7rKpUjDd9YUiDPU4mzpyupFSvOClAwbmQ==", "dev": true }, - "bignumber.js": { - "version": "9.1.2", - "resolved": "https://registry.npmjs.org/bignumber.js/-/bignumber.js-9.1.2.tgz", - "integrity": "sha512-2/mKyZH9K85bzOEfhXDBFZTGd1CTs+5IHpeFQo9luiBG7hghdC851Pj2WAhb6E3R6b9tZj/XKhbg4fum+Kepug==", - "dev": true - }, "binary-extensions": { "version": "2.3.0", "resolved": "https://registry.npmjs.org/binary-extensions/-/binary-extensions-2.3.0.tgz", @@ -1918,7 +1903,8 @@ "bn.js": { "version": "5.2.1", "resolved": "https://registry.npmjs.org/bn.js/-/bn.js-5.2.1.tgz", - "integrity": "sha512-eXRvHzWyYPBuB4NBy0cmYQjGitUrtqwbvlzP3G6VFnNRbsZQIxQ10PbKKHt8gZ/HW/D/747aDl+QkDqg3KQLMQ==" + "integrity": "sha512-eXRvHzWyYPBuB4NBy0cmYQjGitUrtqwbvlzP3G6VFnNRbsZQIxQ10PbKKHt8gZ/HW/D/747aDl+QkDqg3KQLMQ==", + "dev": true }, "body-parser": { "version": "1.20.3", @@ -5826,7 +5812,8 @@ "is-hex-prefixed": { "version": "1.0.0", "resolved": "https://registry.npmjs.org/is-hex-prefixed/-/is-hex-prefixed-1.0.0.tgz", - "integrity": "sha512-WvtOiug1VFrE9v1Cydwm+FnXd3+w9GaeVUss5W4v/SLy3UW00vP+6iNF2SdnfiBoLy4bTqVdkftNGTUeOFVsbA==" + "integrity": "sha512-WvtOiug1VFrE9v1Cydwm+FnXd3+w9GaeVUss5W4v/SLy3UW00vP+6iNF2SdnfiBoLy4bTqVdkftNGTUeOFVsbA==", + "dev": true }, "is-map": { "version": "2.0.2", @@ -9512,6 +9499,7 @@ "version": "1.0.0", "resolved": "https://registry.npmjs.org/strip-hex-prefix/-/strip-hex-prefix-1.0.0.tgz", "integrity": "sha512-q8d4ue7JGEiVcypji1bALTos+0pWtyGlivAWyPuTkHzuTCJqrK9sWxYQZUq6Nq3cuyv3bm734IhHvHtGGURU6A==", + "dev": true, "requires": { "is-hex-prefixed": "1.0.0" } diff --git a/package.json b/package.json index 997edc7..7bc8ceb 100644 --- a/package.json +++ b/package.json @@ -1,6 +1,6 @@ { "name": "@metamask/ethjs-unit", - "version": "0.3.0", + "version": "1.0.0", "description": "A simple module for handling Ethereum units (e.g. 'ether', 'wei', etc...)", "main": "lib/index.js", "files": [ @@ -100,10 +100,7 @@ "peerDependencies": { "@babel/runtime": "^7.0.0" }, - "dependencies": { - "@metamask/number-to-bn": "^1.7.1", - "bn.js": "^5.2.1" - }, + "dependencies": {}, "devDependencies": { "@babel/cli": "^7.0.0", "@babel/core": "^7.0.0", @@ -130,7 +127,6 @@ "@babel/plugin-transform-object-rest-spread": "^7.0.0", "@babel/register": "^7.0.0", "babel-loader": "^8.0.0", - "bignumber.js": "^9.1.2", "chai": "^4.3.10", "cross-env": "^6.0.3", "eslint": "^5.4.0", @@ -237,7 +233,13 @@ "arrow-body-style": [ 2, "as-needed" - ] + ], + "quotes": 0, + "operator-assignment": 0, + "operator-linebreak": 0 + }, + "globals": { + "BigInt": true } }, "pre-commit": "build" diff --git a/src/index.js b/src/index.js index 2012a25..7d7c15f 100644 --- a/src/index.js +++ b/src/index.js @@ -6,41 +6,57 @@ https://github.com/ethers-io Note, Richard is a god of ether gods. Follow and respect him, and use Ethers.io! */ -const BN = require('bn.js'); -const numberToBN = require('@metamask/number-to-bn'); +const zero = BigInt(0); +const negative1 = BigInt(-1); -const zero = new BN(0); -const negative1 = new BN(-1); +function numberToBigInt(arg) { + if (typeof arg === "string") { + return BigInt(arg); + } + if (typeof arg === "number") { + return BigInt(arg); + } + // eslint-disable-next-line valid-typeof + if (typeof arg === "bigint") { + return arg; + } + if (typeof arg === "object" && arg !== null) { + if (typeof arg.toString === "function") { + return BigInt(arg.toString()); + } + } + throw new Error(`Cannot convert ${typeof arg} to BigInt`); +} // complete ethereum unit map const unitMap = { - 'noether': '0', // eslint-disable-line - 'wei': '1', // eslint-disable-line - 'kwei': '1000', // eslint-disable-line - 'Kwei': '1000', // eslint-disable-line - 'babbage': '1000', // eslint-disable-line - 'femtoether': '1000', // eslint-disable-line - 'mwei': '1000000', // eslint-disable-line - 'Mwei': '1000000', // eslint-disable-line - 'lovelace': '1000000', // eslint-disable-line - 'picoether': '1000000', // eslint-disable-line - 'gwei': '1000000000', // eslint-disable-line - 'Gwei': '1000000000', // eslint-disable-line - 'shannon': '1000000000', // eslint-disable-line - 'nanoether': '1000000000', // eslint-disable-line - 'nano': '1000000000', // eslint-disable-line - 'szabo': '1000000000000', // eslint-disable-line - 'microether': '1000000000000', // eslint-disable-line - 'micro': '1000000000000', // eslint-disable-line - 'finney': '1000000000000000', // eslint-disable-line - 'milliether': '1000000000000000', // eslint-disable-line - 'milli': '1000000000000000', // eslint-disable-line - 'ether': '1000000000000000000', // eslint-disable-line - 'kether': '1000000000000000000000', // eslint-disable-line - 'grand': '1000000000000000000000', // eslint-disable-line - 'mether': '1000000000000000000000000', // eslint-disable-line - 'gether': '1000000000000000000000000000', // eslint-disable-line - 'tether': '1000000000000000000000000000000', // eslint-disable-line + noether: "0", // eslint-disable-line + wei: "1", // eslint-disable-line + kwei: "1000", // eslint-disable-line + Kwei: "1000", // eslint-disable-line + babbage: "1000", // eslint-disable-line + femtoether: "1000", // eslint-disable-line + mwei: "1000000", // eslint-disable-line + Mwei: "1000000", // eslint-disable-line + lovelace: "1000000", // eslint-disable-line + picoether: "1000000", // eslint-disable-line + gwei: "1000000000", // eslint-disable-line + Gwei: "1000000000", // eslint-disable-line + shannon: "1000000000", // eslint-disable-line + nanoether: "1000000000", // eslint-disable-line + nano: "1000000000", // eslint-disable-line + szabo: "1000000000000", // eslint-disable-line + microether: "1000000000000", // eslint-disable-line + micro: "1000000000000", // eslint-disable-line + finney: "1000000000000000", // eslint-disable-line + milliether: "1000000000000000", // eslint-disable-line + milli: "1000000000000000", // eslint-disable-line + ether: "1000000000000000000", // eslint-disable-line + kether: "1000000000000000000000", // eslint-disable-line + grand: "1000000000000000000000", // eslint-disable-line + mether: "1000000000000000000000000", // eslint-disable-line + gether: "1000000000000000000000000000", // eslint-disable-line + tether: "1000000000000000000000000000000", // eslint-disable-line }; /** @@ -48,51 +64,87 @@ const unitMap = { * * @method getValueOfUnit * @param {String} unit the unit to convert to, default ether - * @returns {BigNumber} value of the unit (in Wei) + * @returns {bigint} value of the unit (in Wei) * @throws error if the unit is not correct:w */ function getValueOfUnit(unitInput) { - const unit = unitInput ? unitInput.toLowerCase() : 'ether'; + const unit = unitInput ? unitInput.toLowerCase() : "ether"; var unitValue = unitMap[unit]; // eslint-disable-line - if (typeof unitValue !== 'string') { - throw new Error(`[ethjs-unit] the unit provided ${unitInput} doesn't exists, please use the one of the following units ${JSON.stringify(unitMap, null, 2)}`); + if (typeof unitValue !== "string") { + throw new Error( + `[ethjs-unit] the unit provided ${unitInput} doesn't exists, please use the one of the following units ${JSON.stringify( + unitMap, + null, + 2 + )}` + ); } - return new BN(unitValue, 10); + return BigInt(unitValue); } +/** + * Converts a number to a string + * + * @method numberToString + * @param {Number|bigint|String|Object} arg the number to convert to a string + * @returns {String} the string representation of the number + * @throws error if the number is invalid + */ function numberToString(arg) { - if (typeof arg === 'string') { + if (typeof arg === "string") { if (!arg.match(/^-?[0-9.]+$/)) { - throw new Error(`while converting number to string, invalid number value '${arg}', should be a number matching (^-?[0-9.]+).`); + throw new Error( + `while converting number to string, invalid number value '${arg}', should be a number matching (^-?[0-9.]+).` + ); } return arg; } - if (typeof arg === 'number') { + if (typeof arg === "number") { return String(arg); } - if (typeof arg === 'object' && arg.toString && (arg.toTwos || arg.dividedToIntegerBy)) { + // eslint-disable-next-line valid-typeof + if (typeof arg === "bigint") { + return arg.toString(); + } + if ( + typeof arg === "object" && + arg.toString && + (arg.toTwos || arg.dividedToIntegerBy) + ) { if (arg.toPrecision) { return String(arg.toPrecision()); } return arg.toString(10); } - throw new Error(`while converting number to string, invalid number value '${arg}' type ${typeof arg}.`); + throw new Error( + `while converting number to string, invalid number value '${arg}' type ${typeof arg}.` + ); } +/** + * Converts a number from Wei to a string + * + * @method fromWei + * @param {Number|bigint|String|Object} weiInput the number to convert from Wei + * @param {String} unit the unit to convert to, default ether + * @param {Object} options the options to use for the conversion + * @returns {String} the string representation of the number + * @throws error if the number is invalid + */ function fromWei(weiInput, unit, optionsInput) { - var wei = numberToBN(weiInput); // eslint-disable-line - var negative = wei.lt(zero); // eslint-disable-line + var wei = numberToBigInt(weiInput); // eslint-disable-line + var negative = wei < zero; // eslint-disable-line const base = getValueOfUnit(unit); const baseLength = unitMap[unit].length - 1 || 1; const options = optionsInput || {}; if (negative) { - wei = wei.mul(negative1); + wei = wei * negative1; } - var fraction = wei.mod(base).toString(10); // eslint-disable-line + var fraction = (wei % base).toString(); // eslint-disable-line while (fraction.length < baseLength) { fraction = `0${fraction}`; @@ -102,13 +154,13 @@ function fromWei(weiInput, unit, optionsInput) { fraction = fraction.match(/^([0-9]*[1-9]|0)(0*)/)[1]; // eslint-disable-line prefer-destructuring } - var whole = wei.div(base).toString(10); // eslint-disable-line + var whole = (wei / base).toString(); // eslint-disable-line if (options.commify) { - whole = whole.replace(/\B(?=(\d{3})+(?!\d))/g, ','); + whole = whole.replace(/\B(?=(\d{3})+(?!\d))/g, ","); } - var value = `${whole}${fraction == '0' ? '' : `.${fraction}`}`; // eslint-disable-line + var value = `${whole}${fraction == "0" ? "" : `.${fraction}`}`; // eslint-disable-line if (negative) { value = `-${value}`; @@ -117,42 +169,68 @@ function fromWei(weiInput, unit, optionsInput) { return value; } +/** + * Converts a number to Wei + * + * @method toWei + * @param {Number|bigint|String|Object} etherInput the number to convert to Wei + * @param {String} unit the unit to convert to, default ether + * @returns {bigint} the number in Wei + * @throws error if the number is invalid + */ function toWei(etherInput, unit) { var ether = numberToString(etherInput); // eslint-disable-line const base = getValueOfUnit(unit); const baseLength = unitMap[unit].length - 1 || 1; // Is it negative? - var negative = (ether.substring(0, 1) === '-'); // eslint-disable-line + var negative = ether.substring(0, 1) === "-"; // eslint-disable-line if (negative) { ether = ether.substring(1); } - if (ether === '.') { throw new Error(`[ethjs-unit] while converting number ${etherInput} to wei, invalid value`); } + if (ether === ".") { + throw new Error( + `[ethjs-unit] while converting number ${etherInput} to wei, invalid value` + ); + } // Split it into a whole and fractional part - var comps = ether.split('.'); // eslint-disable-line - if (comps.length > 2) { throw new Error(`[ethjs-unit] while converting number ${etherInput} to wei, too many decimal points`); } + var comps = ether.split("."); // eslint-disable-line + if (comps.length > 2) { + throw new Error( + `[ethjs-unit] while converting number ${etherInput} to wei, too many decimal points` + ); + } - var whole = comps[0], fraction = comps[1]; // eslint-disable-line + let whole = comps[0]; + let fraction = comps[1]; // eslint-disable-line - if (!whole) { whole = '0'; } - if (!fraction) { fraction = '0'; } - if (fraction.length > baseLength) { throw new Error(`[ethjs-unit] while converting number ${etherInput} to wei, too many decimal places`); } + if (!whole) { + whole = "0"; + } + if (!fraction) { + fraction = "0"; + } + if (fraction.length > baseLength) { + throw new Error( + `[ethjs-unit] while converting number ${etherInput} to wei, too many decimal places` + ); + } while (fraction.length < baseLength) { - fraction += '0'; + fraction += "0"; } - whole = new BN(whole); - fraction = new BN(fraction); - var wei = (whole.mul(base)).add(fraction); // eslint-disable-line + whole = BigInt(whole); + fraction = BigInt(fraction); + var wei = whole * base + fraction; // eslint-disable-line if (negative) { - wei = wei.mul(negative1); + wei = wei * negative1; } - return new BN(wei.toString(10), 10); + return wei; } module.exports = { diff --git a/src/tests/test.index.js b/src/tests/test.index.js index d84a475..f686ab3 100644 --- a/src/tests/test.index.js +++ b/src/tests/test.index.js @@ -1,6 +1,4 @@ const units = require('../index.js'); // eslint-disable-line -const BigNumber = require('bn.js'); // eslint-disable-line -const ActualBigNumber = require('bignumber.js'); const web3Utils = require('web3').utils; // eslint-disable-line const assert = require('chai').assert; // eslint-disable-line const totalTypes = Object.keys(units.unitMap).length; @@ -9,7 +7,7 @@ function testRandomValueAgainstWeb3ToWei(negative) { const stringTestValue = `${negative ? '-' : ''}${String(Math.floor((Math.random() * 100000000000000000) + 1))}`; const randomunitsType = Object.keys(units.unitMap)[Math.floor((Math.random() * (totalTypes - 1)) + 1)]; const unitsValue = units.toWei(stringTestValue, randomunitsType); - const web3Value = new BigNumber(web3Utils.toWei(stringTestValue, randomunitsType)); + const web3Value = BigInt(web3Utils.toWei(stringTestValue, randomunitsType)); // it(`toWei should work like web3 val ${unitsValue.toString(10)} should equal ${web3Value.toString(10)}`, () => { assert.deepEqual(unitsValue, web3Value); @@ -93,12 +91,12 @@ describe('numberToString', () => { assert.equal(units.numberToString(-1), '-1'); assert.equal(units.numberToString(0), '0'); assert.equal(units.numberToString(-0), '0'); - assert.equal(units.numberToString(new ActualBigNumber(10.1)), '10.1'); - assert.equal(units.numberToString(new ActualBigNumber(10000)), '10000'); - assert.equal(units.numberToString(new BigNumber(10000)), '10000'); - assert.equal(units.numberToString(new BigNumber('-1')), '-1'); - assert.equal(units.numberToString(new BigNumber('1')), '1'); - assert.equal(units.numberToString(new BigNumber(0)), '0'); + assert.equal(units.numberToString(10.1), '10.1'); + assert.equal(units.numberToString(BigInt(10)), '10'); + assert.equal(units.numberToString(BigInt(10000)), '10000'); + assert.equal(units.numberToString(BigInt('-1')), '-1'); + assert.equal(units.numberToString(BigInt('1')), '1'); + assert.equal(units.numberToString(BigInt(0)), '0'); }); });